2264977800 has 144 divisors (see below), whose sum is σ = 7852116480. Its totient is φ = 584496000.

The previous prime is 2264977733. The next prime is 2264977837. The reversal of 2264977800 is 87794622.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35505 + ... + 76095.

Almost surely, 2^2264977800 is an apocalyptic number.

2264977800 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 2264977800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926058240).

2264977800 is an abundant number, since it is smaller than the sum of its proper divisors (5587138680).

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

2264977800 is a wasteful number, since it uses less digits than its factorization.

2264977800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40644 (or 40632 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2264977800 is about 47591.7829041947. The cubic root of 2264977800 is about 1313.2718942517.

The spelling of 2264977800 in words is "two billion, two hundred sixty-four million, nine hundred seventy-seven thousand, eight hundred".