2611963905408 has 768 divisors, whose sum is σ = 9220278412800. Its totient is φ = 725594112000.

The previous prime is 2611963905389. The next prime is 2611963905409. The reversal of 2611963905408 is 8045093691162.

2611963905408 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 9 + 6 + 3 + 90 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611963905409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671626728 + ... + 671630616.

It is an arithmetic number, because the mean of its divisors is an integer number (12005570850).

Almost surely, 2^{2611963905408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611963905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610139206400).

2611963905408 is an abundant number, since it is smaller than the sum of its proper divisors (6608314507392).

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

2611963905408 is a wasteful number, since it uses less digits than its factorization.

2611963905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2611963905408 in words is "two trillion, six hundred eleven billion, nine hundred sixty-three million, nine hundred five thousand, four hundred eight".