2800957680 has 60 divisors (see below), whose sum is σ = 9406551960. Its totient is φ = 746921856.

The previous prime is 2800957669. The next prime is 2800957697. The reversal of 2800957680 is 867590082.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1944390 + ... + 1945829.

It is an arithmetic number, because the mean of its divisors is an integer number (156775866).

Almost surely, 2^2800957680 is an apocalyptic number.

2800957680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2800957680 is an abundant number, since it is smaller than the sum of its proper divisors (6605594280).

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

2800957680 is a wasteful number, since it uses less digits than its factorization.

2800957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890238 (or 3890229 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2800957680 is about 52924.0746730635. The cubic root of 2800957680 is about 1409.6204199306.

The spelling of 2800957680 in words is "two billion, eight hundred million, nine hundred fifty-seven thousand, six hundred eighty".