2805309979920 has 1440 divisors, whose sum is σ = 12013311098880. Its totient is φ = 582692382720.

The previous prime is 2805309979867. The next prime is 2805309979973. The reversal of 2805309979920 is 299799035082.

2805309979920 is a `hidden beast` number, since 2 + 8 + 0 + 530 + 9 + 9 + 7 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2805309979867) and next prime (2805309979973).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2639049309 + ... + 2639050371.

It is an arithmetic number, because the mean of its divisors is an integer number (8342577152).

Almost surely, 2^{2805309979920} is an apocalyptic number.

2805309979920 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 2805309979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006655549440).

2805309979920 is an abundant number, since it is smaller than the sum of its proper divisors (9208001118960).

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

2805309979920 is a wasteful number, since it uses less digits than its factorization.

2805309979920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 2805309979920 in words is "two trillion, eight hundred five billion, three hundred nine million, nine hundred seventy-nine thousand, nine hundred twenty".