2135977720 has 64 divisors (see below), whose sum is σ = 5074020000. Its totient is φ = 807003648.

The previous prime is 2135977709. The next prime is 2135977721. The reversal of 2135977720 is 277795312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135977721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261214 + ... + 269266.

Almost surely, 2^2135977720 is an apocalyptic number.

2135977720 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 2135977720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537010000).

2135977720 is an abundant number, since it is smaller than the sum of its proper divisors (2938042280).

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

2135977720 is a wasteful number, since it uses less digits than its factorization.

2135977720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 2135977720 is about 46216.6389950632. The cubic root of 2135977720 is about 1287.8508613630.

The spelling of 2135977720 in words is "two billion, one hundred thirty-five million, nine hundred seventy-seven thousand, seven hundred twenty".