2135795928 has 192 divisors, whose sum is σ = 6649574400. Its totient is φ = 568270080.

The previous prime is 2135795927. The next prime is 2135795951. The reversal of 2135795928 is 8295975312.

It is a super-2 number, since 2×2135795928² = 9123248492122762368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135795927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362201 + ... + 1363767.

It is an arithmetic number, because the mean of its divisors is an integer number (34633200).

Almost surely, 2^2135795928 is an apocalyptic number.

2135795928 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 2135795928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324787200).

2135795928 is an abundant number, since it is smaller than the sum of its proper divisors (4513778472).

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

2135795928 is a wasteful number, since it uses less digits than its factorization.

2135795928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1659 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 2135795928 is about 46214.6722156503. The cubic root of 2135795928 is about 1287.8143242113.

The spelling of 2135795928 in words is "two billion, one hundred thirty-five million, seven hundred ninety-five thousand, nine hundred twenty-eight".