2976282720 has 288 divisors, whose sum is σ = 10665817344. Its totient is φ = 754790400.

The previous prime is 2976282713. The next prime is 2976282737. The reversal of 2976282720 is 272826792.

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722494 + ... + 2723586.

It is an arithmetic number, because the mean of its divisors is an integer number (37034088).

Almost surely, 2^2976282720 is an apocalyptic number.

2976282720 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 2976282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332908672).

2976282720 is an abundant number, since it is smaller than the sum of its proper divisors (7689534624).

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

2976282720 is a wasteful number, since it uses less digits than its factorization.

2976282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2976282720 is about 54555.3179809265. The cubic root of 2976282720 is about 1438.4388173075.

The spelling of 2976282720 in words is "two billion, nine hundred seventy-six million, two hundred eighty-two thousand, seven hundred twenty".