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2490552324 = 22321321512711
BaseRepresentation
bin1001010001110010…
…1101000000000100
320102120102011111200
42110130231000010
520100040133244
61051045102500
7115501226331
oct22434550004
96376364450
102490552324
111068940907
125960b7a30
13308ca2100
14198ab1988
15e89b1669
hex9472d004

2490552324 has 108 divisors (see below), whose sum is σ = 6864766272. Its totient is φ = 760968000.

The previous prime is 2490552301. The next prime is 2490552373. The reversal of 2490552324 is 4232550942.

2490552324 is a `hidden beast` number, since 24 + 90 + 5 + 523 + 24 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 917329 + ... + 920039.

Almost surely, 22490552324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490552324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432383136).

2490552324 is an abundant number, since it is smaller than the sum of its proper divisors (4374213948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2490552324 is a wasteful number, since it uses less digits than its factorization.

2490552324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2490552324 is about 49905.4338123616. The cubic root of 2490552324 is about 1355.4969875748.

The spelling of 2490552324 in words is "two billion, four hundred ninety million, five hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 151 156 169 234 302 338 453 468 507 604 676 906 1014 1359 1521 1812 1963 2028 2711 2718 3042 3926 5422 5436 5889 6084 7852 8133 10844 11778 16266 17667 23556 24399 25519 32532 35243 35334 48798 51038 70486 70668 76557 97596 102076 105729 140972 153114 211458 229671 306228 317187 409361 422916 458159 459342 634374 818722 916318 918684 1228083 1268748 1374477 1637444 1832636 2456166 2748954 3684249 4123431 4912332 5321693 5497908 7368498 8246862 10643386 14736996 15965079 16493724 21286772 31930158 47895237 63860316 69182009 95790474 138364018 191580948 207546027 276728036 415092054 622638081 830184108 1245276162 2490552324