2642073456000 has 1536 divisors, whose sum is σ = 10193293393920. Its totient is φ = 599961600000.

The previous prime is 2642073455981. The next prime is 2642073456019. The reversal of 2642073456000 is 6543702462.

It is an interprime number because it is at equal distance from previous prime (2642073455981) and next prime (2642073456019).

It is a self number, because there is not a number n which added to its sum of digits gives 2642073456000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20803727937 + ... + 20803728063.

It is an arithmetic number, because the mean of its divisors is an integer number (6636258720).

Almost surely, 2^{2642073456000} is an apocalyptic number.

2642073456000 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 2642073456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096646696960).

2642073456000 is an abundant number, since it is smaller than the sum of its proper divisors (7551219937920).

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

2642073456000 is a wasteful number, since it uses less digits than its factorization.

2642073456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 2642073456000 in words is "two trillion, six hundred forty-two billion, seventy-three million, four hundred fifty-six thousand".