2251524605664 has 48 divisors (see below), whose sum is σ = 5940253419408. Its totient is φ = 746698509312.

The previous prime is 2251524605647. The next prime is 2251524605669. The reversal of 2251524605664 is 4665064251522.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251524605669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59507437 + ... + 59545260.

It is an arithmetic number, because the mean of its divisors is an integer number (123755279571).

Almost surely, 2^{2251524605664} is an apocalyptic number.

2251524605664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2251524605664 is an abundant number, since it is smaller than the sum of its proper divisors (3688728813744).

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

2251524605664 is a wasteful number, since it uses less digits than its factorization.

2251524605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119052907 (or 119052899 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 2251524605664 in words is "two trillion, two hundred fifty-one billion, five hundred twenty-four million, six hundred five thousand, six hundred sixty-four".