2578914938880 has 1872 divisors, whose sum is σ = 10982257947648. Its totient is φ = 557383680000.

The previous prime is 2578914938791. The next prime is 2578914938881. The reversal of 2578914938880 is 888394198752.

2578914938880 is a `hidden beast` number, since 2 + 57 + 8 + 9 + 1 + 493 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2578914938799 and 2578914938808.

It is not an unprimeable number, because it can be changed into a prime (2578914938881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17078906805 + ... + 17078906955.

It is an arithmetic number, because the mean of its divisors is an integer number (5866590784).

Almost surely, 2^{2578914938880} is an apocalyptic number.

2578914938880 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 2578914938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491128973824).

2578914938880 is an abundant number, since it is smaller than the sum of its proper divisors (8403343008768).

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

2578914938880 is a wasteful number, since it uses less digits than its factorization.

2578914938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 2578914938880 in words is "two trillion, five hundred seventy-eight billion, nine hundred fourteen million, nine hundred thirty-eight thousand, eight hundred eighty".