2287408640 has 160 divisors (see below), whose sum is σ = 6191523360. Its totient is φ = 802816000.

The previous prime is 2287408639. The next prime is 2287408649. The reversal of 2287408640 is 468047822.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287408649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815240 + ... + 818040.

It is an arithmetic number, because the mean of its divisors is an integer number (38697021).

Almost surely, 2^2287408640 is an apocalyptic number.

2287408640 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 2287408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095761680).

2287408640 is an abundant number, since it is smaller than the sum of its proper divisors (3904114720).

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

2287408640 is a wasteful number, since it uses less digits than its factorization.

2287408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 2287408640 is about 47826.8610719959. The cubic root of 2287408640 is about 1317.5929196443.

The spelling of 2287408640 in words is "two billion, two hundred eighty-seven million, four hundred eight thousand, six hundred forty".