2316428822400 has 1536 divisors, whose sum is σ = 10024501248000. Its totient is φ = 465583104000.

The previous prime is 2316428822363. The next prime is 2316428822437. The reversal of 2316428822400 is 42288246132.

It is an interprime number because it is at equal distance from previous prime (2316428822363) and next prime (2316428822437).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1122843769 + ... + 1122845831.

It is an arithmetic number, because the mean of its divisors is an integer number (6526368000).

Almost surely, 2^{2316428822400} is an apocalyptic number.

2316428822400 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 2316428822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012250624000).

2316428822400 is an abundant number, since it is smaller than the sum of its proper divisors (7708072425600).

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

2316428822400 is a wasteful number, since it uses less digits than its factorization.

2316428822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 2316428822400 in words is "two trillion, three hundred sixteen billion, four hundred twenty-eight million, eight hundred twenty-two thousand, four hundred".