2973806640 has 120 divisors (see below), whose sum is σ = 11413772448. Its totient is φ = 679726080.

The previous prime is 2973806623. The next prime is 2973806659. The reversal of 2973806640 is 466083792.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289981 + ... + 300060.

Almost surely, 2^2973806640 is an apocalyptic number.

2973806640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2973806640 is an abundant number, since it is smaller than the sum of its proper divisors (8439965808).

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

2973806640 is a wasteful number, since it uses less digits than its factorization.

2973806640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590067 (or 590058 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2973806640 is about 54532.6199627342. The cubic root of 2973806640 is about 1438.0398097669.

The spelling of 2973806640 in words is "two billion, nine hundred seventy-three million, eight hundred six thousand, six hundred forty".