2131770960 has 280 divisors, whose sum is σ = 8109150624. Its totient is φ = 516637440.

The previous prime is 2131770923. The next prime is 2131770973. The reversal of 2131770960 is 690771312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 639859 + ... + 643181.

Almost surely, 2^2131770960 is an apocalyptic number.

2131770960 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 2131770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054575312).

2131770960 is an abundant number, since it is smaller than the sum of its proper divisors (5977379664).

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

2131770960 is a wasteful number, since it uses less digits than its factorization.

2131770960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2131770960 is about 46171.1052499288. The cubic root of 2131770960 is about 1287.0048412943.

The spelling of 2131770960 in words is "two billion, one hundred thirty-one million, seven hundred seventy thousand, nine hundred sixty".