2131969840 has 320 divisors, whose sum is σ = 6759567360. Its totient is φ = 603832320.

The previous prime is 2131969823. The next prime is 2131969877. The reversal of 2131969840 is 489691312.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6326152 + ... + 6326488.

It is an arithmetic number, because the mean of its divisors is an integer number (21123648).

Almost surely, 2^2131969840 is an apocalyptic number.

2131969840 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 2131969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379783680).

2131969840 is an abundant number, since it is smaller than the sum of its proper divisors (4627597520).

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

2131969840 is a wasteful number, since it uses less digits than its factorization.

2131969840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 2131969840 is about 46173.2589276521. The cubic root of 2131969840 is about 1287.0448630365.

The spelling of 2131969840 in words is "two billion, one hundred thirty-one million, nine hundred sixty-nine thousand, eight hundred forty".