2253260624400 has 150 divisors (see below), whose sum is σ = 8086771680042. Its totient is φ = 600869491200.

The previous prime is 2253260624389. The next prime is 2253260624401. The reversal of 2253260624400 is 44260623522.

2253260624400 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 2 + 606 + 2 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27566625024 + 2225693999376 = 166032^2 + 1491876^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2253260624401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 34740141 + ... + 34804940.

Almost surely, 2^{2253260624400} is an apocalyptic number.

2253260624400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253260624400 is an abundant number, since it is smaller than the sum of its proper divisors (5833511055642).

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

2253260624400 is a wasteful number, since it uses less digits than its factorization.

2253260624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69545111 (or 69545091 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2253260624400 in words is "two trillion, two hundred fifty-three billion, two hundred sixty million, six hundred twenty-four thousand, four hundred".