2590064932000 has 432 divisors, whose sum is σ = 8016125782392. Its totient is φ = 819702374400.

The previous prime is 2590064931997. The next prime is 2590064932067. The reversal of 2590064932000 is 2394600952.

It can be written as a sum of positive squares in 12 ways, for example, as 1709012373264 + 881052558736 = 1307292^2 + 938644^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33084904 + ... + 33163096.

Almost surely, 2^{2590064932000} is an apocalyptic number.

2590064932000 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 2590064932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008062891196).

2590064932000 is an abundant number, since it is smaller than the sum of its proper divisors (5426060850392).

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

2590064932000 is a wasteful number, since it uses less digits than its factorization.

2590064932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78258 (or 78220 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 2590064932000 in words is "two trillion, five hundred ninety billion, sixty-four million, nine hundred thirty-two thousand".