2328429482400 has 288 divisors, whose sum is σ = 8742715430400. Its totient is φ = 527238097920.

The previous prime is 2328429482389. The next prime is 2328429482411. The reversal of 2328429482400 is 42849248232.

It is an interprime number because it is at equal distance from previous prime (2328429482389) and next prime (2328429482411).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2328429482400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149951 + ... + 2445249.

It is an arithmetic number, because the mean of its divisors is an integer number (30356650800).

Almost surely, 2^{2328429482400} is an apocalyptic number.

2328429482400 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 2328429482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371357715200).

2328429482400 is an abundant number, since it is smaller than the sum of its proper divisors (6414285948000).

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

2328429482400 is a wasteful number, since it uses less digits than its factorization.

2328429482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295436 (or 1295423 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2328429482400 in words is "two trillion, three hundred twenty-eight billion, four hundred twenty-nine million, four hundred eighty-two thousand, four hundred".