2264982480 has 160 divisors (see below), whose sum is σ = 7852473600. Its totient is φ = 600058368.

The previous prime is 2264982439. The next prime is 2264982487. The reversal of 2264982480 is 842894622.

2264982480 is a `hidden beast` number, since 22 + 64 + 98 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264982487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335781 + ... + 342459.

It is an arithmetic number, because the mean of its divisors is an integer number (49077960).

Almost surely, 2^2264982480 is an apocalyptic number.

2264982480 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 2264982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926236800).

2264982480 is an abundant number, since it is smaller than the sum of its proper divisors (5587491120).

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

2264982480 is a wasteful number, since it uses less digits than its factorization.

2264982480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2264982480 is about 47591.8320723210. The cubic root of 2264982480 is about 1313.2727987651.

The spelling of 2264982480 in words is "two billion, two hundred sixty-four million, nine hundred eighty-two thousand, four hundred eighty".