2287567920 has 240 divisors, whose sum is σ = 8009174880. Its totient is φ = 539320320.

The previous prime is 2287567901. The next prime is 2287567963. The reversal of 2287567920 is 297657822.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2287567920² = 10465933977226252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2287567920.

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, 1073416 + ... + 1075544.

It is an arithmetic number, because the mean of its divisors is an integer number (33371562).

Almost surely, 2^2287567920 is an apocalyptic number.

2287567920 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 2287567920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004587440).

2287567920 is an abundant number, since it is smaller than the sum of its proper divisors (5721606960).

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

2287567920 is a wasteful number, since it uses less digits than its factorization.

2287567920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 2287567920 is about 47828.5262160565. The cubic root of 2287567920 is about 1317.6235017516.

The spelling of 2287567920 in words is "two billion, two hundred eighty-seven million, five hundred sixty-seven thousand, nine hundred twenty".