2135434752 has 400 divisors, whose sum is σ = 7224966144. Its totient is φ = 622080000.

The previous prime is 2135434733. The next prime is 2135434781. The reversal of 2135434752 is 2574345312.

2135434752 is a `hidden beast` number, since 21 + 3 + 543 + 47 + 52 = 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 39 ways as a sum of consecutive naturals, for example, 14141877 + ... + 14142027.

Almost surely, 2^2135434752 is an apocalyptic number.

2135434752 is a gapful number since it is divisible by the number (22) 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 2135434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612483072).

2135434752 is an abundant number, since it is smaller than the sum of its proper divisors (5089531392).

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

2135434752 is a wasteful number, since it uses less digits than its factorization.

2135434752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 2135434752 is about 46210.7644602424. The cubic root of 2135434752 is about 1287.7417277237.

The spelling of 2135434752 in words is "two billion, one hundred thirty-five million, four hundred thirty-four thousand, seven hundred fifty-two".