2131676640 has 72 divisors (see below), whose sum is σ = 7274351448. Its totient is φ = 568446720.

The previous prime is 2131676629. The next prime is 2131676641. The reversal of 2131676640 is 466761312.

It is a happy number.

2131676640 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 6 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2131676595 and 2131676604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131676641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738726 + ... + 741605.

It is an arithmetic number, because the mean of its divisors is an integer number (101032659).

Almost surely, 2^2131676640 is an apocalyptic number.

2131676640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131676640 is an abundant number, since it is smaller than the sum of its proper divisors (5142674808).

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

2131676640 is a wasteful number, since it uses less digits than its factorization.

2131676640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480352 (or 1480341 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2131676640 is about 46170.0838205867. The cubic root of 2131676640 is about 1286.9858598795.

The spelling of 2131676640 in words is "two billion, one hundred thirty-one million, six hundred seventy-six thousand, six hundred forty".