2135758020 has 192 divisors, whose sum is σ = 6880591872. Its totient is φ = 490176000.

The previous prime is 2135758003. The next prime is 2135758021. The reversal of 2135758020 is 208575312.

It is a super-2 number, since 2×2135758020² = 9122924639988640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2135758021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960510 + ... + 962730.

It is an arithmetic number, because the mean of its divisors is an integer number (35836416).

Almost surely, 2^2135758020 is an apocalyptic number.

2135758020 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 2135758020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440295936).

2135758020 is an abundant number, since it is smaller than the sum of its proper divisors (4744833852).

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

2135758020 is a wasteful number, since it uses less digits than its factorization.

2135758020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 2135758020 is about 46214.2620843393. The cubic root of 2135758020 is about 1287.8067050760.

The spelling of 2135758020 in words is "two billion, one hundred thirty-five million, seven hundred fifty-eight thousand, twenty".