2904723360 has 1152 divisors, whose sum is σ = 13857951744. Its totient is φ = 535265280.

The previous prime is 2904723323. The next prime is 2904723373. The reversal of 2904723360 is 633274092.

It is a happy number.

2904723360 is a `hidden beast` number, since 290 + 4 + 7 + 2 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43354047 + ... + 43354113.

It is an arithmetic number, because the mean of its divisors is an integer number (12029472).

Almost surely, 2^2904723360 is an apocalyptic number.

2904723360 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 2904723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928975872).

2904723360 is an abundant number, since it is smaller than the sum of its proper divisors (10953228384).

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

2904723360 is a wasteful number, since it uses less digits than its factorization.

2904723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2904723360 is about 53895.4855252274. The cubic root of 2904723360 is about 1426.8169473199.

The spelling of 2904723360 in words is "two billion, nine hundred four million, seven hundred twenty-three thousand, three hundred sixty".