2642612544000 has 960 divisors, whose sum is σ = 11182563520128. Its totient is φ = 591335424000.

The previous prime is 2642612543959. The next prime is 2642612544037. The reversal of 2642612544000 is 4452162462.

2642612544000 is a `hidden beast` number, since 2 + 642 + 6 + 1 + 2 + 5 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 82351959 + ... + 82384041.

Almost surely, 2^{2642612544000} is an apocalyptic number.

2642612544000 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 2642612544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591281760064).

2642612544000 is an abundant number, since it is smaller than the sum of its proper divisors (8539950976128).

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

2642612544000 is a wasteful number, since it uses less digits than its factorization.

2642612544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32146 (or 32117 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2642612544000 in words is "two trillion, six hundred forty-two billion, six hundred twelve million, five hundred forty-four thousand".