2974086720 has 784 divisors, whose sum is σ = 12393046080. Its totient is φ = 671846400.

The previous prime is 2974086697. The next prime is 2974086733. The reversal of 2974086720 is 276804792.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48755490 + ... + 48755550.

Almost surely, 2^2974086720 is an apocalyptic number.

2974086720 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 2974086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196523040).

2974086720 is an abundant number, since it is smaller than the sum of its proper divisors (9418959360).

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

2974086720 is a wasteful number, since it uses less digits than its factorization.

2974086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

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

The square root of 2974086720 is about 54535.1879065251. The cubic root of 2974086720 is about 1438.0849543235.

The spelling of 2974086720 in words is "two billion, nine hundred seventy-four million, eighty-six thousand, seven hundred twenty".