2804256599040 has 880 divisors, whose sum is σ = 10920000678048. Its totient is φ = 684021252096.

The previous prime is 2804256599033. The next prime is 2804256599047. The reversal of 2804256599040 is 409956524082.

2804256599040 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 2 + 5 + 6 + 599 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2804256599033) and next prime (2804256599047).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2804256599047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 609221379 + ... + 609225981.

Almost surely, 2^{2804256599040} is an apocalyptic number.

2804256599040 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 2804256599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460000339024).

2804256599040 is an abundant number, since it is smaller than the sum of its proper divisors (8115744079008).

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

2804256599040 is a wasteful number, since it uses less digits than its factorization.

2804256599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2804256599040 in words is "two trillion, eight hundred four billion, two hundred fifty-six million, five hundred ninety-nine thousand, forty".