2287514880 has 432 divisors, whose sum is σ = 9527656320. Its totient is φ = 495009792.

The previous prime is 2287514857. The next prime is 2287514891. The reversal of 2287514880 is 884157822.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531414 + ... + 1532906.

It is an arithmetic number, because the mean of its divisors is an integer number (22054760).

Almost surely, 2^2287514880 is an apocalyptic number.

2287514880 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 2287514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763828160).

2287514880 is an abundant number, since it is smaller than the sum of its proper divisors (7240141440).

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

2287514880 is a wasteful number, since it uses less digits than its factorization.

2287514880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2287514880 is about 47827.9717320315. The cubic root of 2287514880 is about 1317.6133181136.

The spelling of 2287514880 in words is "two billion, two hundred eighty-seven million, five hundred fourteen thousand, eight hundred eighty".