2974214880 has 288 divisors, whose sum is σ = 12492252864. Its totient is φ = 627499008.

The previous prime is 2974214869. The next prime is 2974214891. The reversal of 2974214880 is 884124792.

It is an interprime number because it is at equal distance from previous prime (2974214869) and next prime (2974214891).

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

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, 119692 + ... + 142388.

It is an arithmetic number, because the mean of its divisors is an integer number (43375878).

Almost surely, 2^2974214880 is an apocalyptic number.

2974214880 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 2974214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246126432).

2974214880 is an abundant number, since it is smaller than the sum of its proper divisors (9518037984).

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

2974214880 is a wasteful number, since it uses less digits than its factorization.

2974214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22738 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2974214880 is about 54536.3629150313. The cubic root of 2974214880 is about 1438.1056107846.

The spelling of 2974214880 in words is "two billion, nine hundred seventy-four million, two hundred fourteen thousand, eight hundred eighty".