2264476500 has 960 divisors, whose sum is σ = 9589612032. Its totient is φ = 456192000.

The previous prime is 2264476451. The next prime is 2264476507. The reversal of 2264476500 is 56744622.

2264476500 is a `hidden beast` number, since 2 + 2 + 644 + 7 + 6 + 5 + 0 + 0 = 666.

2264476500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264476507) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 98455489 + ... + 98455511.

Almost surely, 2^2264476500 is an apocalyptic number.

2264476500 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 2264476500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794806016).

2264476500 is an abundant number, since it is smaller than the sum of its proper divisors (7325135532).

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

2264476500 is a wasteful number, since it uses less digits than its factorization.

2264476500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2264476500 is about 47586.5159472723. The cubic root of 2264476500 is about 1313.1749997367.

The spelling of 2264476500 in words is "two billion, two hundred sixty-four million, four hundred seventy-six thousand, five hundred".