2664111169440 has 576 divisors, whose sum is σ = 10644944873472. Its totient is φ = 594127872000.

The previous prime is 2664111169373. The next prime is 2664111169457. The reversal of 2664111169440 is 449611114662.

2664111169440 is a `hidden beast` number, since 2 + 6 + 6 + 41 + 1 + 1 + 169 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96683665 + ... + 96711215.

It is an arithmetic number, because the mean of its divisors is an integer number (18480807072).

Almost surely, 2^{2664111169440} is an apocalyptic number.

2664111169440 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 2664111169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322472436736).

2664111169440 is an abundant number, since it is smaller than the sum of its proper divisors (7980833704032).

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

2664111169440 is a wasteful number, since it uses less digits than its factorization.

2664111169440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27813 (or 27802 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2664111169440 in words is "two trillion, six hundred sixty-four billion, one hundred eleven million, one hundred sixty-nine thousand, four hundred forty".