2135753928 has 576 divisors, whose sum is σ = 8091832320. Its totient is φ = 493516800.

The previous prime is 2135753927. The next prime is 2135753929. The reversal of 2135753928 is 8293575312.

2135753928 is a `hidden beast` number, since 21 + 3 + 575 + 39 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2135753927) and next prime (2135753929).

It is a super-2 number, since 2×2135753928² = 9122889681934858368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135753927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49668675 + ... + 49668717.

It is an arithmetic number, because the mean of its divisors is an integer number (14048320).

Almost surely, 2^2135753928 is an apocalyptic number.

2135753928 is a gapful number since it is divisible by the number (28) 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 2135753928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045916160).

2135753928 is an abundant number, since it is smaller than the sum of its proper divisors (5956078392).

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

2135753928 is a wasteful number, since it uses less digits than its factorization.

2135753928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 2135753928 is about 46214.2178122707. The cubic root of 2135753928 is about 1287.8058826189.

The spelling of 2135753928 in words is "two billion, one hundred thirty-five million, seven hundred fifty-three thousand, nine hundred twenty-eight".