2442738513600 has 3780 divisors, whose sum is σ = 12204081324072. Its totient is φ = 477724262400.

The previous prime is 2442738513541. The next prime is 2442738513647. The reversal of 2442738513600 is 63158372442.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2442738513600 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 7 + 38 + 5 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

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 539 ways as a sum of consecutive naturals, for example, 143690500792 + ... + 143690500808.

Almost surely, 2^{2442738513600} is an apocalyptic number.

2442738513600 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 2442738513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102040662036).

2442738513600 is an abundant number, since it is smaller than the sum of its proper divisors (9761342810472).

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

2442738513600 is a wasteful number, since it uses less digits than its factorization.

2442738513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2442738513600 in words is "two trillion, four hundred forty-two billion, seven hundred thirty-eight million, five hundred thirteen thousand, six hundred".