2973644160 has 128 divisors (see below), whose sum is σ = 9502034400. Its totient is φ = 791003136.

The previous prime is 2973644147. The next prime is 2973644173. The reversal of 2973644160 is 614463792.

It is an interprime number because it is at equal distance from previous prime (2973644147) and next prime (2973644173).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875746 + ... + 879134.

Almost surely, 2^2973644160 is an apocalyptic number.

2973644160 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 2973644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751017200).

2973644160 is an abundant number, since it is smaller than the sum of its proper divisors (6528390240).

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

2973644160 is a wasteful number, since it uses less digits than its factorization.

2973644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2973644160 is about 54531.1301918455. The cubic root of 2973644160 is about 1438.0136192092.

The spelling of 2973644160 in words is "two billion, nine hundred seventy-three million, six hundred forty-four thousand, one hundred sixty".