2575581791460 has 192 divisors, whose sum is σ = 7573679124480. Its totient is φ = 652730918400.

The previous prime is 2575581791449. The next prime is 2575581791533. The reversal of 2575581791460 is 641971855752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2575581791394 and 2575581791403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520211985 + ... + 520216935.

It is an arithmetic number, because the mean of its divisors is an integer number (39446245440).

Almost surely, 2^{2575581791460} is an apocalyptic number.

2575581791460 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 2575581791460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786839562240).

2575581791460 is an abundant number, since it is smaller than the sum of its proper divisors (4998097333020).

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

2575581791460 is a wasteful number, since it uses less digits than its factorization.

2575581791460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 60.

The spelling of 2575581791460 in words is "two trillion, five hundred seventy-five billion, five hundred eighty-one million, seven hundred ninety-one thousand, four hundred sixty".