2442962059200 has 1008 divisors, whose sum is σ = 9664954528320. Its totient is φ = 584811601920.

The previous prime is 2442962059199. The next prime is 2442962059243. The reversal of 2442962059200 is 29502692442.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1170560557 + ... + 1170562643.

It is an arithmetic number, because the mean of its divisors is an integer number (9588248540).

Almost surely, 2^{2442962059200} is an apocalyptic number.

2442962059200 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 2442962059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832477264160).

2442962059200 is an abundant number, since it is smaller than the sum of its proper divisors (7221992469120).

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

2442962059200 is a wasteful number, since it uses less digits than its factorization.

2442962059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2442962059200 in words is "two trillion, four hundred forty-two billion, nine hundred sixty-two million, fifty-nine thousand, two hundred".