2904675840 has 480 divisors, whose sum is σ = 11195417376. Its totient is φ = 690094080.

The previous prime is 2904675827. The next prime is 2904675887. The reversal of 2904675840 is 485764092.

It is a happy number.

2904675840 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 67 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 18501042 + ... + 18501198.

Almost surely, 2^2904675840 is an apocalyptic number.

2904675840 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 2904675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597708688).

2904675840 is an abundant number, since it is smaller than the sum of its proper divisors (8290741536).

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

2904675840 is a wasteful number, since it uses less digits than its factorization.

2904675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2904675840 is about 53895.0446701735. The cubic root of 2904675840 is about 1426.8091665777.

The spelling of 2904675840 in words is "two billion, nine hundred four million, six hundred seventy-five thousand, eight hundred forty".