2611826220960 has 960 divisors, whose sum is σ = 10373378400000. Its totient is φ = 613376409600.

The previous prime is 2611826220923. The next prime is 2611826220967. The reversal of 2611826220960 is 690226281162.

2611826220960 is a `hidden beast` number, since 2 + 6 + 1 + 18 + 2 + 622 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2611826220967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 870897541 + ... + 870900539.

It is an arithmetic number, because the mean of its divisors is an integer number (10805602500).

Almost surely, 2^{2611826220960} is an apocalyptic number.

2611826220960 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 2611826220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186689200000).

2611826220960 is an abundant number, since it is smaller than the sum of its proper divisors (7761552179040).

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

2611826220960 is a wasteful number, since it uses less digits than its factorization.

2611826220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2611826220960 in words is "two trillion, six hundred eleven billion, eight hundred twenty-six million, two hundred twenty thousand, nine hundred sixty".