2661262636032 has 2640 divisors, whose sum is σ = 11479757446080. Its totient is φ = 601974374400.

The previous prime is 2661262635979. The next prime is 2661262636033. The reversal of 2661262636032 is 2306362621662.

2661262636032 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 2 + 6 + 2 + 636 + 0 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661262636033) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11042583432 + ... + 11042583672.

It is an arithmetic number, because the mean of its divisors is an integer number (4348392972).

Almost surely, 2^{2661262636032} is an apocalyptic number.

2661262636032 is a gapful number since it is divisible by the number (22) 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 2661262636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739878723040).

2661262636032 is an abundant number, since it is smaller than the sum of its proper divisors (8818494810048).

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

2661262636032 is a wasteful number, since it uses less digits than its factorization.

2661262636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 2661262636032 in words is "two trillion, six hundred sixty-one billion, two hundred sixty-two million, six hundred thirty-six thousand, thirty-two".