2005260115650 has 288 divisors, whose sum is σ = 5564564928384. Its totient is φ = 477404928000.

The previous prime is 2005260115553. The next prime is 2005260115657. The reversal of 2005260115650 is 565110625002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005260115657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1070613114 + ... + 1070614986.

Almost surely, 2^{2005260115650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005260115650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782282464192).

2005260115650 is an abundant number, since it is smaller than the sum of its proper divisors (3559304812734).

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

2005260115650 is a wasteful number, since it uses less digits than its factorization.

2005260115650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 2005260115650 in words is "two trillion, five billion, two hundred sixty million, one hundred fifteen thousand, six hundred fifty".