2800914480 has 720 divisors, whose sum is σ = 12225717504. Its totient is φ = 568995840.

The previous prime is 2800914451. The next prime is 2800914499. The reversal of 2800914480 is 844190082.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217742 + ... + 14217938.

Almost surely, 2^2800914480 is an apocalyptic number.

2800914480 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 2800914480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112858752).

2800914480 is an abundant number, since it is smaller than the sum of its proper divisors (9424803024).

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

2800914480 is a wasteful number, since it uses less digits than its factorization.

2800914480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2800914480 is about 52923.6665396493. Note that the first 3 decimals coincide. The cubic root of 2800914480 is about 1409.6131728956.

The spelling of 2800914480 in words is "two billion, eight hundred million, nine hundred fourteen thousand, four hundred eighty".