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2490389280 = 253351930341
BaseRepresentation
bin1001010001110000…
…0101001100100000
320102120002212212000
42110130011030200
520100014424110
61051041404000
7115466650101
oct22434051440
96376085760
102490389280
11106883a365
12596039600
13308c45b32
14198a6c3a8
15e897d1c0
hex94705320

2490389280 has 192 divisors, whose sum is σ = 9175420800. Its totient is φ = 629130240.

The previous prime is 2490389273. The next prime is 2490389339. The reversal of 2490389280 is 829830942.

2490389280 is a `hidden beast` number, since 2 + 490 + 3 + 89 + 2 + 80 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

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 31 ways as a sum of consecutive naturals, for example, 66910 + ... + 97250.

It is an arithmetic number, because the mean of its divisors is an integer number (47788650).

Almost surely, 22490389280 is an apocalyptic number.

2490389280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587710400).

2490389280 is an abundant number, since it is smaller than the sum of its proper divisors (6685031520).

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

2490389280 is a wasteful number, since it uses less digits than its factorization.

2490389280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30384 (or 30370 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2490389280 is about 49903.8002560927. The cubic root of 2490389280 is about 1355.4674077273.

The spelling of 2490389280 in words is "two billion, four hundred ninety million, three hundred eighty-nine thousand, two hundred eighty".