2261240709120 has 1632 divisors, whose sum is σ = 9062798389632. Its totient is φ = 518214647808.

The previous prime is 2261240709107. The next prime is 2261240709127. The reversal of 2261240709120 is 219070421622.

2261240709120 is a `hidden beast` number, since 2 + 261 + 240 + 70 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×2261240709120² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2261240709127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42664919014 + ... + 42664919066.

Almost surely, 2^{2261240709120} is an apocalyptic number.

2261240709120 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 2261240709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531399194816).

2261240709120 is an abundant number, since it is smaller than the sum of its proper divisors (6801557680512).

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

2261240709120 is a wasteful number, since it uses less digits than its factorization.

2261240709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2261240709120 in words is "two trillion, two hundred sixty-one billion, two hundred forty million, seven hundred nine thousand, one hundred twenty".