2265035540130 has 384 divisors, whose sum is σ = 6739193260800. Its totient is φ = 542795904000.

The previous prime is 2265035540101. The next prime is 2265035540147. The reversal of 2265035540130 is 310455305622.

2265035540130 is a `hidden beast` number, since 2 + 2 + 6 + 50 + 35 + 540 + 1 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2042412016 + ... + 2042413124.

It is an arithmetic number, because the mean of its divisors is an integer number (17549982450).

Almost surely, 2^{2265035540130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265035540130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369596630400).

2265035540130 is an abundant number, since it is smaller than the sum of its proper divisors (4474157720670).

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

2265035540130 is a wasteful number, since it uses less digits than its factorization.

2265035540130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2265035540130 in words is "two trillion, two hundred sixty-five billion, thirty-five million, five hundred forty thousand, one hundred thirty".