2521153440 has 144 divisors (see below), whose sum is σ = 9265307688. Its totient is φ = 620587008.

The previous prime is 2521153429. The next prime is 2521153447. The reversal of 2521153440 is 443511252.

2521153440 is a `hidden beast` number, since 2 + 5 + 211 + 5 + 3 + 440 = 666.

2521153440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2049916176 + 471237264 = 45276^2 + 21708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2521153447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48619 + ... + 86058.

Almost surely, 2^2521153440 is an apocalyptic number.

2521153440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2521153440 is an abundant number, since it is smaller than the sum of its proper divisors (6744154248).

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

2521153440 is a wasteful number, since it uses less digits than its factorization.

2521153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134711 (or 134700 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2521153440 is about 50211.0888151213. The cubic root of 2521153440 is about 1361.0260135324.

Adding to 2521153440 its reverse (443511252), we get a palindrome (2964664692).

It can be divided in two parts, 2521 and 153440, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 2521153440 in words is "two billion, five hundred twenty-one million, one hundred fifty-three thousand, four hundred forty".