2135914760 has 64 divisors (see below), whose sum is σ = 5520096000. Its totient is φ = 728614656.

The previous prime is 2135914751. The next prime is 2135914769. The reversal of 2135914760 is 674195312.

It is an interprime number because it is at equal distance from previous prime (2135914751) and next prime (2135914769).

It is not an unprimeable number, because it can be changed into a prime (2135914769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36554 + ... + 74886.

It is an arithmetic number, because the mean of its divisors is an integer number (86251500).

Almost surely, 2^2135914760 is an apocalyptic number.

2135914760 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 2135914760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760048000).

2135914760 is an abundant number, since it is smaller than the sum of its proper divisors (3384181240).

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

2135914760 is a wasteful number, since it uses less digits than its factorization.

2135914760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38550 (or 38546 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 2135914760 is about 46215.9578500760. The cubic root of 2135914760 is about 1287.8382076906.

The spelling of 2135914760 in words is "two billion, one hundred thirty-five million, nine hundred fourteen thousand, seven hundred sixty".