2420118993600 has 1344 divisors, whose sum is σ = 11646424581120. Its totient is φ = 473289523200.

The previous prime is 2420118993557. The next prime is 2420118993619. The reversal of 2420118993600 is 63998110242.

2420118993600 is a `hidden beast` number, since 2 + 4 + 20 + 1 + 18 + 9 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 56527402 + ... + 56570198.

It is an arithmetic number, because the mean of its divisors is an integer number (8665494480).

Almost surely, 2^{2420118993600} is an apocalyptic number.

2420118993600 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 2420118993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823212290560).

2420118993600 is an abundant number, since it is smaller than the sum of its proper divisors (9226305587520).

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

2420118993600 is a wasteful number, since it uses less digits than its factorization.

2420118993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42863 (or 42842 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2420118993600 in words is "two trillion, four hundred twenty billion, one hundred eighteen million, nine hundred ninety-three thousand, six hundred".