2649596260038 has 192 divisors, whose sum is σ = 6855712432128. Its totient is φ = 675955203840.

The previous prime is 2649596260013. The next prime is 2649596260057. The reversal of 2649596260038 is 8300626959462.

It is a happy number.

It is a super-2 number, since 2×2649596260038² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 421437331 + ... + 421443617.

It is an arithmetic number, because the mean of its divisors is an integer number (35706835584).

Almost surely, 2^{2649596260038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649596260038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427856216064).

2649596260038 is an abundant number, since it is smaller than the sum of its proper divisors (4206116172090).

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

2649596260038 is a wasteful number, since it uses less digits than its factorization.

2649596260038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 2649596260038 in words is "two trillion, six hundred forty-nine billion, five hundred ninety-six million, two hundred sixty thousand, thirty-eight".