2973003264 has 800 divisors, whose sum is σ = 11883168000. Its totient is φ = 731566080.

The previous prime is 2973003247. The next prime is 2973003331. The reversal of 2973003264 is 4623003792.

It is a happy number.

2973003264 is a `hidden beast` number, since 2 + 97 + 300 + 3 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156473847 + ... + 156473865.

It is an arithmetic number, because the mean of its divisors is an integer number (14853960).

Almost surely, 2^2973003264 is an apocalyptic number.

2973003264 is a gapful number since it is divisible by the number (24) 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 2973003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941584000).

2973003264 is an abundant number, since it is smaller than the sum of its proper divisors (8910164736).

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

2973003264 is an equidigital number, since it uses as much as digits as its factorization.

2973003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2973003264 is about 54525.2534519556. The cubic root of 2973003264 is about 1437.9103022748.

The spelling of 2973003264 in words is "two billion, nine hundred seventy-three million, three thousand, two hundred sixty-four".