2890607328000 has 432 divisors, whose sum is σ = 11887149158976. Its totient is φ = 660709785600.

The previous prime is 2890607327981. The next prime is 2890607328073. The reversal of 2890607328000 is 8237060982.

2890607328000 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 607 + 32 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2890607328000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299084 + ... + 2732916.

Almost surely, 2^{2890607328000} is an apocalyptic number.

2890607328000 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 2890607328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943574579488).

2890607328000 is an abundant number, since it is smaller than the sum of its proper divisors (8996541830976).

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

2890607328000 is a wasteful number, since it uses less digits than its factorization.

2890607328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433877 (or 1433850 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2890607328000 in words is "two trillion, eight hundred ninety billion, six hundred seven million, three hundred twenty-eight thousand".