2674903296 has 288 divisors, whose sum is σ = 8241408000. Its totient is φ = 763305984.

The previous prime is 2674903261. The next prime is 2674903307. The reversal of 2674903296 is 6923094762.

2674903296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11191945 + ... + 11192183.

It is an arithmetic number, because the mean of its divisors is an integer number (28616000).

Almost surely, 2^2674903296 is an apocalyptic number.

2674903296 is a gapful number since it is divisible by the number (26) 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 2674903296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120704000).

2674903296 is an abundant number, since it is smaller than the sum of its proper divisors (5566504704).

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

2674903296 is a wasteful number, since it uses less digits than its factorization.

2674903296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 2674903296 is about 51719.4672826393. The cubic root of 2674903296 is about 1388.1488212006.

The spelling of 2674903296 in words is "two billion, six hundred seventy-four million, nine hundred three thousand, two hundred ninety-six".