2904649038720 has 3072 divisors, whose sum is σ = 13511502950400. Its totient is φ = 563163955200.

The previous prime is 2904649038713. The next prime is 2904649038721. The reversal of 2904649038720 is 278309464092.

2904649038720 is a `hidden beast` number, since 2 + 90 + 46 + 490 + 3 + 8 + 7 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904649038721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9339707365 + ... + 9339707675.

It is an arithmetic number, because the mean of its divisors is an integer number (4398275700).

Almost surely, 2^{2904649038720} is an apocalyptic number.

2904649038720 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 2904649038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755751475200).

2904649038720 is an abundant number, since it is smaller than the sum of its proper divisors (10606853911680).

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

2904649038720 is a wasteful number, since it uses less digits than its factorization.

2904649038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

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

The spelling of 2904649038720 in words is "two trillion, nine hundred four billion, six hundred forty-nine million, thirty-eight thousand, seven hundred twenty".