2970968760 has 128 divisors (see below), whose sum is σ = 9925632000. Its totient is φ = 790466688.

The previous prime is 2970968657. The next prime is 2970968797. The reversal of 2970968760 is 678690792.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2970968697 and 2970968706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514449 + ... + 520191.

It is an arithmetic number, because the mean of its divisors is an integer number (77544000).

Almost surely, 2^2970968760 is an apocalyptic number.

2970968760 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 2970968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962816000).

2970968760 is an abundant number, since it is smaller than the sum of its proper divisors (6954663240).

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

2970968760 is a wasteful number, since it uses less digits than its factorization.

2970968760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 2970968760 is about 54506.5937295663. The cubic root of 2970968760 is about 1437.5822275333.

The spelling of 2970968760 in words is "two billion, nine hundred seventy million, nine hundred sixty-eight thousand, seven hundred sixty".