2282590464 has 360 divisors, whose sum is σ = 7900468800. Its totient is φ = 572436480.

The previous prime is 2282590439. The next prime is 2282590469. The reversal of 2282590464 is 4640952822.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282590469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78710002 + ... + 78710030.

Almost surely, 2^2282590464 is an apocalyptic number.

2282590464 is a gapful number since it is divisible by the number (24) 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 2282590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950234400).

2282590464 is an abundant number, since it is smaller than the sum of its proper divisors (5617878336).

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

2282590464 is an frugal number, since it uses more digits than its factorization.

2282590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2282590464 is about 47776.4634940679. The cubic root of 2282590464 is about 1316.6671475581.

The spelling of 2282590464 in words is "two billion, two hundred eighty-two million, five hundred ninety thousand, four hundred sixty-four".