2904834240 has 336 divisors, whose sum is σ = 12457785600. Its totient is φ = 603555840.

The previous prime is 2904834223. The next prime is 2904834241. The reversal of 2904834240 is 424384092.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2904834195 and 2904834204.

It is not an unprimeable number, because it can be changed into a prime (2904834241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215211 + ... + 228309.

Almost surely, 2^2904834240 is an apocalyptic number.

2904834240 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 2904834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228892800).

2904834240 is an abundant number, since it is smaller than the sum of its proper divisors (9552951360).

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

2904834240 is a wasteful number, since it uses less digits than its factorization.

2904834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13127 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2904834240 is about 53896.5141729964. The cubic root of 2904834240 is about 1426.8351020551.

The spelling of 2904834240 in words is "two billion, nine hundred four million, eight hundred thirty-four thousand, two hundred forty".