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2490310656 = 21337139
BaseRepresentation
bin1001010001101111…
…0010000000000000
320102112221220000000
42110123302000000
520100004420111
61051040000000
7115466201631
oct22433620000
96375856000
102490310656
111068796289
12596000000
13308c19102
14198a4b888
15e8964c56
hex946f2000

2490310656 has 224 divisors, whose sum is σ = 7523073600. Its totient is φ = 824131584.

The previous prime is 2490310633. The next prime is 2490310679. The reversal of 2490310656 is 6560130942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2490310633) and next prime (2490310679).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2490310656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17915835 + ... + 17915973.

It is an arithmetic number, because the mean of its divisors is an integer number (33585150).

Almost surely, 22490310656 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 2490310656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761536800).

2490310656 is an abundant number, since it is smaller than the sum of its proper divisors (5032762944).

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

2490310656 is an frugal number, since it uses more digits than its factorization.

2490310656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2490310656 is about 49903.0124942373. The cubic root of 2490310656 is about 1355.4531431045.

The spelling of 2490310656 in words is "two billion, four hundred ninety million, three hundred ten thousand, six hundred fifty-six".