2661412287744 has 720 divisors, whose sum is σ = 9584616222720. Its totient is φ = 718064455680.

The previous prime is 2661412287713. The next prime is 2661412287757. The reversal of 2661412287744 is 4477822141662.

2661412287744 is a `hidden beast` number, since 2 + 6 + 614 + 12 + 2 + 8 + 7 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 263736139 + ... + 263746229.

It is an arithmetic number, because the mean of its divisors is an integer number (13311966976).

Almost surely, 2^{2661412287744} is an apocalyptic number.

2661412287744 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 2661412287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792308111360).

2661412287744 is an abundant number, since it is smaller than the sum of its proper divisors (6923203934976).

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

2661412287744 is a wasteful number, since it uses less digits than its factorization.

2661412287744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10228 (or 10205 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 2661412287744 in words is "two trillion, six hundred sixty-one billion, four hundred twelve million, two hundred eighty-seven thousand, seven hundred forty-four".