2261500242210 has 256 divisors, whose sum is σ = 6799871877120. Its totient is φ = 530110241280.

The previous prime is 2261500242151. The next prime is 2261500242263. The reversal of 2261500242210 is 122420051622.

2261500242210 is a `hidden beast` number, since 2 + 2 + 615 + 0 + 0 + 2 + 42 + 2 + 1 + 0 = 666.

It is a super-2 number, since 2×2261500242210² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11488374 + ... + 11683566.

It is an arithmetic number, because the mean of its divisors is an integer number (26561999520).

Almost surely, 2^{2261500242210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261500242210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399935938560).

2261500242210 is an abundant number, since it is smaller than the sum of its proper divisors (4538371634910).

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

2261500242210 is a wasteful number, since it uses less digits than its factorization.

2261500242210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195350 (or 195344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2261500242210 its reverse (122420051622), we get a palindrome (2383920293832).

The spelling of 2261500242210 in words is "two trillion, two hundred sixty-one billion, five hundred million, two hundred forty-two thousand, two hundred ten".