2674864080 has 320 divisors, whose sum is σ = 11085004800. Its totient is φ = 579156480.

The previous prime is 2674864001. The next prime is 2674864111. The reversal of 2674864080 is 804684762.

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 63 ways as a sum of consecutive naturals, for example, 282625 + ... + 291935.

It is an arithmetic number, because the mean of its divisors is an integer number (34640640).

Almost surely, 2^2674864080 is an apocalyptic number.

2674864080 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 2674864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542502400).

2674864080 is an abundant number, since it is smaller than the sum of its proper divisors (8410140720).

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

2674864080 is a wasteful number, since it uses less digits than its factorization.

2674864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2674864080 is about 51719.0881590153. The cubic root of 2674864080 is about 1388.1420374152.

The spelling of 2674864080 in words is "two billion, six hundred seventy-four million, eight hundred sixty-four thousand, eighty".