2669746584960 has 1536 divisors, whose sum is σ = 11580371712000. Its totient is φ = 551809843200.

The previous prime is 2669746584929. The next prime is 2669746584977. The reversal of 2669746584960 is 694856479662.

2669746584960 is a `hidden beast` number, since 2 + 6 + 6 + 9 + 74 + 65 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7044186051 + ... + 7044186429.

It is an arithmetic number, because the mean of its divisors is an integer number (7539304500).

Almost surely, 2^{2669746584960} is an apocalyptic number.

2669746584960 is a gapful number since it is divisible by the number (20) 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 2669746584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790185856000).

2669746584960 is an abundant number, since it is smaller than the sum of its proper divisors (8910625127040).

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

2669746584960 is a wasteful number, since it uses less digits than its factorization.

2669746584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 2669746584960 in words is "two trillion, six hundred sixty-nine billion, seven hundred forty-six million, five hundred eighty-four thousand, nine hundred sixty".