2890209974400 has 576 divisors, whose sum is σ = 11798112580800. Its totient is φ = 659952230400.

The previous prime is 2890209974381. The next prime is 2890209974423. The reversal of 2890209974400 is 44799020982.

2890209974400 is a `hidden beast` number, since 2 + 8 + 90 + 20 + 9 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2890209974400² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 215503695 + ... + 215517105.

Almost surely, 2^{2890209974400} is an apocalyptic number.

2890209974400 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 2890209974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899056290400).

2890209974400 is an abundant number, since it is smaller than the sum of its proper divisors (8907902606400).

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

2890209974400 is a wasteful number, since it uses less digits than its factorization.

2890209974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14517 (or 14497 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2890209974400 in words is "two trillion, eight hundred ninety billion, two hundred nine million, nine hundred seventy-four thousand, four hundred".