2280008640 has 224 divisors, whose sum is σ = 8909913600. Its totient is φ = 481038336.

The previous prime is 2280008639. The next prime is 2280008671. The reversal of 2280008640 is 468000822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2280008598 and 2280008607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74311 + ... + 100409.

It is an arithmetic number, because the mean of its divisors is an integer number (39776400).

Almost surely, 2^2280008640 is an apocalyptic number.

2280008640 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 2280008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454956800).

2280008640 is an abundant number, since it is smaller than the sum of its proper divisors (6629904960).

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

2280008640 is a wasteful number, since it uses less digits than its factorization.

2280008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26139 (or 26129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2280008640 is about 47749.4360176118. The cubic root of 2280008640 is about 1316.1705355753.

The spelling of 2280008640 in words is "two billion, two hundred eighty million, eight thousand, six hundred forty".