2590978134864 has 320 divisors, whose sum is σ = 8335180800000. Its totient is φ = 676698624000.

The previous prime is 2590978134863. The next prime is 2590978134887. The reversal of 2590978134864 is 4684318790952.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2590978134795 and 2590978134804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590978134863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370083364 + ... + 370090364.

It is an arithmetic number, because the mean of its divisors is an integer number (26047440000).

It is a 1-persistent number, because it is pandigital, but 2⋅2590978134864 = 5181956269728 is not.

Almost surely, 2^{2590978134864} is an apocalyptic number.

2590978134864 is a gapful number since it is divisible by the number (24) 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 2590978134864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167590400000).

2590978134864 is an abundant number, since it is smaller than the sum of its proper divisors (5744202665136).

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

2590978134864 is a wasteful number, since it uses less digits than its factorization.

2590978134864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 2590978134864 in words is "two trillion, five hundred ninety billion, nine hundred seventy-eight million, one hundred thirty-four thousand, eight hundred sixty-four".