2804004779520 has 1280 divisors, whose sum is σ = 10898353889280. Its totient is φ = 601677103104.

The previous prime is 2804004779437. The next prime is 2804004779551. The reversal of 2804004779520 is 259774004082.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2804004779520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2804004779520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8320488792 + ... + 8320489128.

It is an arithmetic number, because the mean of its divisors is an integer number (8514338976).

Almost surely, 2^{2804004779520} is an apocalyptic number.

2804004779520 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 2804004779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449176944640).

2804004779520 is an abundant number, since it is smaller than the sum of its proper divisors (8094349109760).

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

2804004779520 is a wasteful number, since it uses less digits than its factorization.

2804004779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 2804004779520 in words is "two trillion, eight hundred four billion, four million, seven hundred seventy-nine thousand, five hundred twenty".