2611664216340 has 48 divisors (see below), whose sum is σ = 7314237608832. Its totient is φ = 696293524096.

The previous prime is 2611664216321. The next prime is 2611664216347. The reversal of 2611664216340 is 436124661162.

It is a junction number, because it is equal to n+sod(n) for n = 2611664216292 and 2611664216301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2611664216347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4415304 + ... + 4971743.

It is an arithmetic number, because the mean of its divisors is an integer number (152379950184).

Almost surely, 2^{2611664216340} is an apocalyptic number.

2611664216340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2611664216340 is an abundant number, since it is smaller than the sum of its proper divisors (4702573392492).

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

2611664216340 is a wasteful number, since it uses less digits than its factorization.

2611664216340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9391696 (or 9391694 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2611664216340 in words is "two trillion, six hundred eleven billion, six hundred sixty-four million, two hundred sixteen thousand, three hundred forty".