2972865780 has 192 divisors, whose sum is σ = 9855820800. Its totient is φ = 741778560.

The previous prime is 2972865773. The next prime is 2972865781. The reversal of 2972865780 is 875682792.

It is a happy number.

2972865780 is a `hidden beast` number, since 297 + 286 + 5 + 78 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972865781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849835 + ... + 853325.

It is an arithmetic number, because the mean of its divisors is an integer number (51332400).

Almost surely, 2^2972865780 is an apocalyptic number.

2972865780 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 2972865780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927910400).

2972865780 is an abundant number, since it is smaller than the sum of its proper divisors (6882955020).

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

2972865780 is a wasteful number, since it uses less digits than its factorization.

2972865780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2972865780 is about 54523.9927004617. The cubic root of 2972865780 is about 1437.8881369547. Note that the first 3 decimals are identical.

The spelling of 2972865780 in words is "two billion, nine hundred seventy-two million, eight hundred sixty-five thousand, seven hundred eighty".