2262761300 has 144 divisors (see below), whose sum is σ = 5471316480. Its totient is φ = 808704000.

The previous prime is 2262761239. The next prime is 2262761329. The reversal of 2262761300 is 31672622.

It is a congruent number.

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, 2414432 + ... + 2415368.

Almost surely, 2^2262761300 is an apocalyptic number.

2262761300 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 2262761300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735658240).

2262761300 is an abundant number, since it is smaller than the sum of its proper divisors (3208555180).

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

2262761300 is a wasteful number, since it uses less digits than its factorization.

2262761300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 2262761300 is about 47568.4906214187. The cubic root of 2262761300 is about 1312.8433665501.

The spelling of 2262761300 in words is "two billion, two hundred sixty-two million, seven hundred sixty-one thousand, three hundred".