2251534344200 has 48 divisors (see below), whose sum is σ = 5238405978000. Its totient is φ = 899996339520.

The previous prime is 2251534344161. The next prime is 2251534344203. The reversal of 2251534344200 is 24434351522.

It is a happy number.

It is a super-2 number, since 2×2251534344200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2251534344203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3566210 + ... + 4149809.

It is an arithmetic number, because the mean of its divisors is an integer number (109133457875).

Almost surely, 2^{2251534344200} is an apocalyptic number.

2251534344200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251534344200 is an abundant number, since it is smaller than the sum of its proper divisors (2986871633800).

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

2251534344200 is a wasteful number, since it uses less digits than its factorization.

2251534344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717494 (or 7717485 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 2251534344200 its reverse (24434351522), we get a palindrome (2275968695722).

The spelling of 2251534344200 in words is "two trillion, two hundred fifty-one billion, five hundred thirty-four million, three hundred forty-four thousand, two hundred".