2612311162464 has 144 divisors (see below), whose sum is σ = 6983393075568. Its totient is φ = 854958440448.

The previous prime is 2612311162459. The next prime is 2612311162507. The reversal of 2612311162464 is 4642611132162.

It is a super-3 number, since 3×2612311162464³ (a number of 38 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 150184552 + ... + 150201944.

It is an arithmetic number, because the mean of its divisors is an integer number (48495785247).

Almost surely, 2^{2612311162464} is an apocalyptic number.

2612311162464 is a gapful number since it is divisible by the number (24) 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 2612311162464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491696537784).

2612311162464 is an abundant number, since it is smaller than the sum of its proper divisors (4371081913104).

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

2612311162464 is a wasteful number, since it uses less digits than its factorization.

2612311162464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17757 (or 17622 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 2612311162464 in words is "two trillion, six hundred twelve billion, three hundred eleven million, one hundred sixty-two thousand, four hundred sixty-four".