2874349296 has 360 divisors, whose sum is σ = 10195061760. Its totient is φ = 739874304.

The previous prime is 2874349253. The next prime is 2874349327. The reversal of 2874349296 is 6929434782.

2874349296 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 349 + 296 = 666.

2874349296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8006365 + ... + 8006723.

It is an arithmetic number, because the mean of its divisors is an integer number (28319616).

Almost surely, 2^2874349296 is an apocalyptic number.

2874349296 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 2874349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097530880).

2874349296 is an abundant number, since it is smaller than the sum of its proper divisors (7320712464).

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

2874349296 is a wasteful number, since it uses less digits than its factorization.

2874349296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2874349296 is about 53612.9582843551. The cubic root of 2874349296 is about 1421.8262055636.

The spelling of 2874349296 in words is "two billion, eight hundred seventy-four million, three hundred forty-nine thousand, two hundred ninety-six".