2526400128 has 64 divisors (see below), whose sum is σ = 7669437120. Its totient is φ = 721827840.

The previous prime is 2526400091. The next prime is 2526400153. The reversal of 2526400128 is 8210046252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2526400095 and 2526400104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467253 + ... + 472628.

It is an arithmetic number, because the mean of its divisors is an integer number (119834955).

Almost surely, 2^2526400128 is an apocalyptic number.

2526400128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2526400128 is an abundant number, since it is smaller than the sum of its proper divisors (5143036992).

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

2526400128 is an equidigital number, since it uses as much as digits as its factorization.

2526400128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939905 (or 939893 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2526400128 is about 50263.3079691339. The cubic root of 2526400128 is about 1361.9694879108.

The spelling of 2526400128 in words is "two billion, five hundred twenty-six million, four hundred thousand, one hundred twenty-eight".