2642001458880 has 448 divisors, whose sum is σ = 9801080524800. Its totient is φ = 602729164800.

The previous prime is 2642001458879. The next prime is 2642001458917. The reversal of 2642001458880 is 888541002462.

2642001458880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178133065 + ... + 178147895.

Almost surely, 2^{2642001458880} is an apocalyptic number.

2642001458880 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 2642001458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900540262400).

2642001458880 is an abundant number, since it is smaller than the sum of its proper divisors (7159079065920).

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

2642001458880 is a wasteful number, since it uses less digits than its factorization.

2642001458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15413 (or 15389 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 2642001458880 in words is "two trillion, six hundred forty-two billion, one million, four hundred fifty-eight thousand, eight hundred eighty".