2261877581120 has 224 divisors, whose sum is σ = 5758876569600. Its totient is φ = 843671808000.

The previous prime is 2261877581107. The next prime is 2261877581141. The reversal of 2261877581120 is 211857781622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284473145 + ... + 284481095.

It is an arithmetic number, because the mean of its divisors is an integer number (25709270400).

Almost surely, 2^{2261877581120} is an apocalyptic number.

2261877581120 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 2261877581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879438284800).

2261877581120 is an abundant number, since it is smaller than the sum of its proper divisors (3496998988480).

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

2261877581120 is a wasteful number, since it uses less digits than its factorization.

2261877581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8717 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 50.

The spelling of 2261877581120 in words is "two trillion, two hundred sixty-one billion, eight hundred seventy-seven million, five hundred eighty-one thousand, one hundred twenty".