2611730398080 has 256 divisors, whose sum is σ = 8597020354560. Its totient is φ = 673713807360.

The previous prime is 2611730398001. The next prime is 2611730398091. The reversal of 2611730398080 is 808930371162.

It is a super-2 number, since 2×2611730398080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 168850507 + ... + 168865973.

It is an arithmetic number, because the mean of its divisors is an integer number (33582110760).

Almost surely, 2^{2611730398080} is an apocalyptic number.

2611730398080 is a gapful number since it is divisible by the number (20) 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 2611730398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298510177280).

2611730398080 is an abundant number, since it is smaller than the sum of its proper divisors (5985289956480).

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

2611730398080 is a wasteful number, since it uses less digits than its factorization.

2611730398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18357 (or 18345 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 2611730398080 in words is "two trillion, six hundred eleven billion, seven hundred thirty million, three hundred ninety-eight thousand, eighty".