2594879078400 has 1152 divisors, whose sum is σ = 10729889314560. Its totient is φ = 587181588480.

The previous prime is 2594879078399. The next prime is 2594879078401. The reversal of 2594879078400 is 48709784952.

2594879078400 is a `hidden beast` number, since 2 + 5 + 94 + 8 + 79 + 0 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2594879078399) and next prime (2594879078401).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2594879078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7070515017 + ... + 7070515383.

It is an arithmetic number, because the mean of its divisors is an integer number (9314140030).

Almost surely, 2^{2594879078400} is an apocalyptic number.

2594879078400 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 2594879078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364944657280).

2594879078400 is an abundant number, since it is smaller than the sum of its proper divisors (8135010236160).

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

2594879078400 is a wasteful number, since it uses less digits than its factorization.

2594879078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2594879078400 in words is "two trillion, five hundred ninety-four billion, eight hundred seventy-nine million, seventy-eight thousand, four hundred".