2661025340160 has 1728 divisors, whose sum is σ = 11008048665600. Its totient is φ = 606990827520.

The previous prime is 2661025340063. The next prime is 2661025340167. The reversal of 2661025340160 is 610435201662.

2661025340160 is a `hidden beast` number, since 2 + 6 + 6 + 102 + 534 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2661025340167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7021174851 + ... + 7021175229.

Almost surely, 2^{2661025340160} is an apocalyptic number.

2661025340160 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 2661025340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504024332800).

2661025340160 is an abundant number, since it is smaller than the sum of its proper divisors (8347023325440).

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

2661025340160 is a wasteful number, since it uses less digits than its factorization.

2661025340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2661025340160 in words is "two trillion, six hundred sixty-one billion, twenty-five million, three hundred forty thousand, one hundred sixty".