2609651156112 has 1920 divisors, whose sum is σ = 11409109770240. Its totient is φ = 533416181760.

The previous prime is 2609651156083. The next prime is 2609651156113. The reversal of 2609651156112 is 2116511569062.

2609651156112 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 65 + 11 + 561 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (2609651156113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1070844558 + ... + 1070846994.

It is an arithmetic number, because the mean of its divisors is an integer number (5942244672).

Almost surely, 2^{2609651156112} is an apocalyptic number.

2609651156112 is a gapful number since it is divisible by the number (22) 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 2609651156112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5704554885120).

2609651156112 is an abundant number, since it is smaller than the sum of its proper divisors (8799458614128).

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

2609651156112 is a wasteful number, since it uses less digits than its factorization.

2609651156112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2609651156112 in words is "two trillion, six hundred nine billion, six hundred fifty-one million, one hundred fifty-six thousand, one hundred twelve".