2261386920 has 256 divisors, whose sum is σ = 7851271680. Its totient is φ = 516096000.

The previous prime is 2261386909. The next prime is 2261386949. The reversal of 2261386920 is 296831622.

It is a happy number.

It is a super-2 number, since 2×2261386920² = 10227741603894172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1882320 + ... + 1883520.

It is an arithmetic number, because the mean of its divisors is an integer number (30669030).

Almost surely, 2^2261386920 is an apocalyptic number.

2261386920 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 2261386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925635840).

2261386920 is an abundant number, since it is smaller than the sum of its proper divisors (5589884760).

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

2261386920 is a wasteful number, since it uses less digits than its factorization.

2261386920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2261386920 is about 47554.0420994893. The cubic root of 2261386920 is about 1312.5775097990.

The spelling of 2261386920 in words is "two billion, two hundred sixty-one million, three hundred eighty-six thousand, nine hundred twenty".