2623312322400 has 1152 divisors, whose sum is σ = 11593057996800. Its totient is φ = 498587443200.

The previous prime is 2623312322387. The next prime is 2623312322413. The reversal of 2623312322400 is 42232133262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2623312322387) and next prime (2623312322413).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 101811919 + ... + 101837681.

It is an arithmetic number, because the mean of its divisors is an integer number (10063418400).

Almost surely, 2^{2623312322400} is an apocalyptic number.

2623312322400 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 2623312322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796528998400).

2623312322400 is an abundant number, since it is smaller than the sum of its proper divisors (8969745674400).

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

2623312322400 is a wasteful number, since it uses less digits than its factorization.

2623312322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25852 (or 25839 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2623312322400 its reverse (42232133262), we get a palindrome (2665544455662).

The spelling of 2623312322400 in words is "two trillion, six hundred twenty-three billion, three hundred twelve million, three hundred twenty-two thousand, four hundred".