2890065625356 has 384 divisors, whose sum is σ = 8839624837120. Its totient is φ = 713626288128.

The previous prime is 2890065625313. The next prime is 2890065625361. The reversal of 2890065625356 is 6535265600982.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2890065625296 and 2890065625305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 628682850 + ... + 628687446.

Almost surely, 2^{2890065625356} is an apocalyptic number.

2890065625356 is a gapful number since it is divisible by the number (26) 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 2890065625356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419812418560).

2890065625356 is an abundant number, since it is smaller than the sum of its proper divisors (5949559211764).

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

2890065625356 is a wasteful number, since it uses less digits than its factorization.

2890065625356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 2890065625356 in words is "two trillion, eight hundred ninety billion, sixty-five million, six hundred twenty-five thousand, three hundred fifty-six".