2251362470400 has 1200 divisors, whose sum is σ = 9154198468800. Its totient is φ = 543926845440.

The previous prime is 2251362470393. The next prime is 2251362470407. The reversal of 2251362470400 is 40742631522.

2251362470400 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 6 + 247 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2251362470393) and next prime (2251362470407).

It is a tau number, because it is divible by the number of its divisors (1200).

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 (2251362470407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 453079116 + ... + 453084084.

It is an arithmetic number, because the mean of its divisors is an integer number (7628498724).

Almost surely, 2^{2251362470400} is an apocalyptic number.

2251362470400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251362470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577099234400).

2251362470400 is an abundant number, since it is smaller than the sum of its proper divisors (6902835998400).

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

2251362470400 is a wasteful number, since it uses less digits than its factorization.

2251362470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2251362470400 in words is "two trillion, two hundred fifty-one billion, three hundred sixty-two million, four hundred seventy thousand, four hundred".