2904216120 has 480 divisors, whose sum is σ = 11152753920. Its totient is φ = 673712640.

The previous prime is 2904216113. The next prime is 2904216127. The reversal of 2904216120 is 216124092.

2904216120 is a `hidden beast` number, since 2 + 9 + 0 + 42 + 1 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2904216113) and next prime (2904216127).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904216127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15205225 + ... + 15205415.

It is an arithmetic number, because the mean of its divisors is an integer number (23234904).

Almost surely, 2^2904216120 is an apocalyptic number.

2904216120 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 2904216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576376960).

2904216120 is an abundant number, since it is smaller than the sum of its proper divisors (8248537800).

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

2904216120 is a wasteful number, since it uses less digits than its factorization.

2904216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2904216120 is about 53890.7795452988. The cubic root of 2904216120 is about 1426.7338894092.

It can be divided in two parts, 2904 and 216120, that added together give a square (219024 = 468²).

The spelling of 2904216120 in words is "two billion, nine hundred four million, two hundred sixteen thousand, one hundred twenty".