2251566653520 has 80 divisors (see below), whose sum is σ = 7347217515840. Its totient is φ = 568816837632.

The previous prime is 2251566653509. The next prime is 2251566653579. The reversal of 2251566653520 is 253566651522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2251566653520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246877749 + ... + 246886868.

It is an arithmetic number, because the mean of its divisors is an integer number (91840218948).

Almost surely, 2^{2251566653520} is an apocalyptic number.

2251566653520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251566653520 is an abundant number, since it is smaller than the sum of its proper divisors (5095650862320).

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

2251566653520 is a wasteful number, since it uses less digits than its factorization.

2251566653520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493764652 (or 493764646 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 2251566653520 in words is "two trillion, two hundred fifty-one billion, five hundred sixty-six million, six hundred fifty-three thousand, five hundred twenty".