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2490122816 = 26293893449
BaseRepresentation
bin1001010001101100…
…0100001001000000
320102112121100022222
42110123010021000
520044432412231
61051031550212
7115464460166
oct22433041100
96375540288
102490122816
111068678145
12595b2b368
13308b8176c
141989dd236
15e892927b
hex946c4240

2490122816 has 56 divisors (see below), whose sum is σ = 5126355000. Its totient is φ = 1198690304.

The previous prime is 2490122779. The next prime is 2490122837. The reversal of 2490122816 is 6182210942.

It can be written as a sum of positive squares in 4 ways, for example, as 20430400 + 2469692416 = 4520^2 + 49696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720260 + ... + 723708.

Almost surely, 22490122816 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 2490122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563177500).

2490122816 is an abundant number, since it is smaller than the sum of its proper divisors (2636232184).

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

2490122816 is a wasteful number, since it uses less digits than its factorization.

2490122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2490122816 is about 49901.1304080379. The cubic root of 2490122816 is about 1355.4190623872.

The spelling of 2490122816 in words is "two billion, four hundred ninety million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 389 464 778 928 1556 1856 3112 3449 6224 6898 11281 12448 13796 22562 24896 27592 45124 55184 90248 100021 110368 180496 200042 220736 360992 400084 721984 800168 1341661 1600336 2683322 3200672 5366644 6401344 10733288 21466576 38908169 42933152 77816338 85866304 155632676 311265352 622530704 1245061408 2490122816