2661420072960 has 768 divisors, whose sum is σ = 10211028272640. Its totient is φ = 635830272000.

The previous prime is 2661420072959. The next prime is 2661420072979. The reversal of 2661420072960 is 692700241662.

2661420072960 is a `hidden beast` number, since 2 + 6 + 614 + 2 + 0 + 0 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151630205 + ... + 1151632515.

It is an arithmetic number, because the mean of its divisors is an integer number (13295609730).

Almost surely, 2^{2661420072960} is an apocalyptic number.

2661420072960 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 2661420072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105514136320).

2661420072960 is an abundant number, since it is smaller than the sum of its proper divisors (7549608199680).

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

2661420072960 is a wasteful number, since it uses less digits than its factorization.

2661420072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2661420072960 in words is "two trillion, six hundred sixty-one billion, four hundred twenty million, seventy-two thousand, nine hundred sixty".