2801588420 has 24 divisors (see below), whose sum is σ = 6073122048. Its totient is φ = 1084485600.

The previous prime is 2801588381. The next prime is 2801588441. The reversal of 2801588420 is 248851082.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2258726 + ... + 2259965.

It is an arithmetic number, because the mean of its divisors is an integer number (253046752).

Almost surely, 2^2801588420 is an apocalyptic number.

2801588420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801588420 is an abundant number, since it is smaller than the sum of its proper divisors (3271533628).

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

2801588420 is a wasteful number, since it uses less digits than its factorization.

2801588420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518731 (or 4518729 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 2801588420 is about 52930.0332514538. The cubic root of 2801588420 is about 1409.7262215117.

The spelling of 2801588420 in words is "two billion, eight hundred one million, five hundred eighty-eight thousand, four hundred twenty".