280002240 has 672 divisors, whose sum is σ = 1255288320. Its totient is φ = 55738368.

The previous prime is 280002209. The next prime is 280002251. The reversal of 280002240 is 42200082.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6511659 + ... + 6511701.

Almost surely, 2^280002240 is an apocalyptic number.

280002240 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 280002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627644160).

280002240 is an abundant number, since it is smaller than the sum of its proper divisors (975286080).

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

280002240 is a wasteful number, since it uses less digits than its factorization.

280002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 280002240 is about 16733.2674633498. The cubic root of 280002240 is about 654.2150066018.

The spelling of 280002240 in words is "two hundred eighty million, two thousand, two hundred forty".