2121562530048 has 288 divisors, whose sum is σ = 6406028124160. Its totient is φ = 617929482240.

The previous prime is 2121562530041. The next prime is 2121562530091. The reversal of 2121562530048 is 8400352651212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2121562529988 and 2121562530015.

It is not an unprimeable number, because it can be changed into a prime (2121562530041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279039015 + ... + 279046617.

Almost surely, 2^{2121562530048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121562530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203014062080).

2121562530048 is an abundant number, since it is smaller than the sum of its proper divisors (4284465594112).

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

2121562530048 is a wasteful number, since it uses less digits than its factorization.

2121562530048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 2121562530048 in words is "two trillion, one hundred twenty-one billion, five hundred sixty-two million, five hundred thirty thousand, forty-eight".