2612935316992 has 480 divisors, whose sum is σ = 7291125338112. Its totient is φ = 909342720000.

The previous prime is 2612935316933. The next prime is 2612935316993. The reversal of 2612935316992 is 2996135392162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612935316993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174759117 + ... + 174774067.

Almost surely, 2^{2612935316992} is an apocalyptic number.

2612935316992 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 2612935316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645562669056).

2612935316992 is an abundant number, since it is smaller than the sum of its proper divisors (4678190021120).

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

2612935316992 is a wasteful number, since it uses less digits than its factorization.

2612935316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15042 (or 15015 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 58.

The spelling of 2612935316992 in words is "two trillion, six hundred twelve billion, nine hundred thirty-five million, three hundred sixteen thousand, nine hundred ninety-two".