2661274284480 has 280 divisors, whose sum is σ = 10818995957088. Its totient is φ = 608291223552.

The previous prime is 2661274284479. The next prime is 2661274284509. The reversal of 2661274284480 is 844824721662.

It is a happy number.

2661274284480 is a `hidden beast` number, since 2 + 6 + 6 + 12 + 74 + 2 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 39 ways as a sum of consecutive naturals, for example, 7152319 + ... + 7515198.

Almost surely, 2^{2661274284480} is an apocalyptic number.

2661274284480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2661274284480 is an abundant number, since it is smaller than the sum of its proper divisors (8157721672608).

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

2661274284480 is a wasteful number, since it uses less digits than its factorization.

2661274284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667553 (or 14667534 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 2661274284480 in words is "two trillion, six hundred sixty-one billion, two hundred seventy-four million, two hundred eighty-four thousand, four hundred eighty".