2430000749952 has 256 divisors, whose sum is σ = 7359287270400. Its totient is φ = 788997888000.

The previous prime is 2430000749933. The next prime is 2430000749959. The reversal of 2430000749952 is 2599470000342.

It is a junction number, because it is equal to n+sod(n) for n = 2430000749898 and 2430000749907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430000749959) 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, 34237702 + ... + 34308602.

It is an arithmetic number, because the mean of its divisors is an integer number (28747215900).

Almost surely, 2^{2430000749952} 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 2430000749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679643635200).

2430000749952 is an abundant number, since it is smaller than the sum of its proper divisors (4929286520448).

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

2430000749952 is a wasteful number, since it uses less digits than its factorization.

2430000749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71182 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2430000749952 in words is "two trillion, four hundred thirty billion, seven hundred forty-nine thousand, nine hundred fifty-two".