2890774656 has 768 divisors, whose sum is σ = 11548293120. Its totient is φ = 696729600.

The previous prime is 2890774643. The next prime is 2890774681. The reversal of 2890774656 is 6564770982.

2890774656 is a `hidden beast` number, since 28 + 90 + 77 + 465 + 6 = 666.

It is a super-2 number, since 2×2890774656² = 16713156223543836672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40715101 + ... + 40715171.

It is an arithmetic number, because the mean of its divisors is an integer number (15036840).

Almost surely, 2^2890774656 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 2890774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774146560).

2890774656 is an abundant number, since it is smaller than the sum of its proper divisors (8657518464).

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

2890774656 is a wasteful number, since it uses less digits than its factorization.

2890774656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2890774656 is about 53765.9246735328. The cubic root of 2890774656 is about 1424.5293869772.

The spelling of 2890774656 in words is "two billion, eight hundred ninety million, seven hundred seventy-four thousand, six hundred fifty-six".