2579154721920 has 768 divisors, whose sum is σ = 10754829146880. Its totient is φ = 578385100800.

The previous prime is 2579154721903. The next prime is 2579154721937. The reversal of 2579154721920 is 291274519752.

2579154721920 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 1 + 547 + 2 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2579154721903) and next prime (2579154721937).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57675570 + ... + 57720270.

It is an arithmetic number, because the mean of its divisors is an integer number (14003683785).

Almost surely, 2^{2579154721920} is an apocalyptic number.

2579154721920 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 2579154721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377414573440).

2579154721920 is an abundant number, since it is smaller than the sum of its proper divisors (8175674424960).

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

2579154721920 is an equidigital number, since it uses as much as digits as its factorization.

2579154721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44795 (or 44771 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 2579154721920 in words is "two trillion, five hundred seventy-nine billion, one hundred fifty-four million, seven hundred twenty-one thousand, nine hundred twenty".