2575014400 has 240 divisors, whose sum is σ = 7550231040. Its totient is φ = 851558400.

The previous prime is 2575014397. The next prime is 2575014433. The reversal of 2575014400 is 44105752.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2597905 + ... + 2598895.

It is an arithmetic number, because the mean of its divisors is an integer number (31459296).

Almost surely, 2^2575014400 is an apocalyptic number.

2575014400 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 2575014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775115520).

2575014400 is an abundant number, since it is smaller than the sum of its proper divisors (4975216640).

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

2575014400 is an equidigital number, since it uses as much as digits as its factorization.

2575014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2575014400 is about 50744.5997126788. The cubic root of 2575014400 is about 1370.6499482350.

The spelling of 2575014400 in words is "two billion, five hundred seventy-five million, fourteen thousand, four hundred".