2261016652452 has 96 divisors (see below), whose sum is σ = 5620596718464. Its totient is φ = 704960256000.

The previous prime is 2261016652429. The next prime is 2261016652471. The reversal of 2261016652452 is 2542566101622.

It is a happy number.

It is a super-2 number, since 2×2261016652452² (a number of 26 digits) contains 22 as substring.

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, 30136378 + ... + 30211310.

It is an arithmetic number, because the mean of its divisors is an integer number (58547882484).

Almost surely, 2^{2261016652452} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261016652452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810298359232).

2261016652452 is an abundant number, since it is smaller than the sum of its proper divisors (3359580066012).

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

2261016652452 is a wasteful number, since it uses less digits than its factorization.

2261016652452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75869 (or 75867 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2261016652452 in words is "two trillion, two hundred sixty-one billion, sixteen million, six hundred fifty-two thousand, four hundred fifty-two".