2552525440 has 32 divisors (see below), whose sum is σ = 6102132660. Its totient is φ = 1021009920.

The previous prime is 2552525431. The next prime is 2552525449. The reversal of 2552525440 is 445252552.

It is an interprime number because it is at equal distance from previous prime (2552525431) and next prime (2552525449).

It can be written as a sum of positive squares in 2 ways, for example, as 2550654016 + 1871424 = 50504^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2552525440² = 13030772243694387200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2552525396 and 2552525405.

It is not an unprimeable number, because it can be changed into a prime (2552525449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1993521 + ... + 1994800.

Almost surely, 2^2552525440 is an apocalyptic number.

2552525440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552525440 is an abundant number, since it is smaller than the sum of its proper divisors (3549607220).

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

2552525440 is an equidigital number, since it uses as much as digits as its factorization.

2552525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988340 (or 3988328 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 34.

The square root of 2552525440 is about 50522.5240857976. The cubic root of 2552525440 is about 1366.6480721907.

Adding to 2552525440 its reverse (445252552), we get a palindrome (2997777992).

The spelling of 2552525440 in words is "two billion, five hundred fifty-two million, five hundred twenty-five thousand, four hundred forty".