2534436422100 has 216 divisors, whose sum is σ = 8734478957568. Its totient is φ = 609570662400.

The previous prime is 2534436422081. The next prime is 2534436422149. The reversal of 2534436422100 is 12246344352.

2534436422100 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 4 + 3 + 642 + 2 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249412 + ... + 2265188.

Almost surely, 2^{2534436422100} is an apocalyptic number.

2534436422100 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 2534436422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367239478784).

2534436422100 is an abundant number, since it is smaller than the sum of its proper divisors (6200042535468).

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

2534436422100 is a wasteful number, since it uses less digits than its factorization.

2534436422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015935 (or 2015925 counting only the distinct ones).

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

It can be divided in two parts, 2534 and 436422100, that added together give a palindrome (436424634).

The spelling of 2534436422100 in words is "two trillion, five hundred thirty-four billion, four hundred thirty-six million, four hundred twenty-two thousand, one hundred".