2562134100 has 72 divisors (see below), whose sum is σ = 7426587168. Its totient is φ = 681993600.

The previous prime is 2562134063. The next prime is 2562134111. The reversal of 2562134100 is 14312652.

It is a super-2 number, since 2×2562134100² = 13129062292765620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 163822 + ... + 178778.

It is an arithmetic number, because the mean of its divisors is an integer number (103147044).

Almost surely, 2^2562134100 is an apocalyptic number.

2562134100 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 2562134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713293584).

2562134100 is an abundant number, since it is smaller than the sum of its proper divisors (4864453068).

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

2562134100 is a wasteful number, since it uses less digits than its factorization.

2562134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15545 (or 15538 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2562134100 is about 50617.5275966735. The cubic root of 2562134100 is about 1368.3607829757.

Adding to 2562134100 its reverse (14312652), we get a palindrome (2576446752).

The spelling of 2562134100 in words is "two billion, five hundred sixty-two million, one hundred thirty-four thousand, one hundred".