2264172134400 has 1836 divisors, whose sum is σ = 9441968966976. Its totient is φ = 537211699200.

The previous prime is 2264172134387. The next prime is 2264172134407. The reversal of 2264172134400 is 44312714622.

2264172134400 is a `hidden beast` number, since 2 + 2 + 641 + 7 + 2 + 1 + 3 + 4 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264172134407) 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 107 ways as a sum of consecutive naturals, for example, 48173875177 + ... + 48173875223.

Almost surely, 2^{2264172134400} is an apocalyptic number.

2264172134400 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 2264172134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720984483488).

2264172134400 is an abundant number, since it is smaller than the sum of its proper divisors (7177796832576).

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

2264172134400 is an frugal number, since it uses more digits than its factorization.

2264172134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2264172134400 in words is "two trillion, two hundred sixty-four billion, one hundred seventy-two million, one hundred thirty-four thousand, four hundred".