2135385504 has 720 divisors, whose sum is σ = 8259185088. Its totient is φ = 536481792.

The previous prime is 2135385503. The next prime is 2135385517. The reversal of 2135385504 is 4055835312.

2135385504 is a `hidden beast` number, since 21 + 3 + 53 + 85 + 504 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2135385503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49660107 + ... + 49660149.

Almost surely, 2^2135385504 is an apocalyptic number.

2135385504 is a gapful number since it is divisible by the number (24) 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 2135385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129592544).

2135385504 is an abundant number, since it is smaller than the sum of its proper divisors (6123799584).

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

2135385504 is a wasteful number, since it uses less digits than its factorization.

2135385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2135385504 is about 46210.2315943125. The cubic root of 2135385504 is about 1287.7318282264.

The spelling of 2135385504 in words is "two billion, one hundred thirty-five million, three hundred eighty-five thousand, five hundred four".