2664862986240 has 2080 divisors, whose sum is σ = 11935196528640. Its totient is φ = 553816424448.

The previous prime is 2664862986221. The next prime is 2664862986251. The reversal of 2664862986240 is 426892684662.

It is a happy number.

2664862986240 is a `hidden beast` number, since 2 + 6 + 6 + 486 + 2 + 98 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19171676091 + ... + 19171676229.

Almost surely, 2^{2664862986240} is an apocalyptic number.

2664862986240 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 2664862986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967598264320).

2664862986240 is an abundant number, since it is smaller than the sum of its proper divisors (9270333542400).

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

2664862986240 is a wasteful number, since it uses less digits than its factorization.

2664862986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 2664862986240 in words is "two trillion, six hundred sixty-four billion, eight hundred sixty-two million, nine hundred eighty-six thousand, two hundred forty".