2506316422400 has 216 divisors, whose sum is σ = 7092226068480. Its totient is φ = 859007508480.

The previous prime is 2506316422373. The next prime is 2506316422403. The reversal of 2506316422400 is 42246136052.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506316422403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155403137 + ... + 155419263.

Almost surely, 2^{2506316422400} is an apocalyptic number.

2506316422400 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 2506316422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546113034240).

2506316422400 is an abundant number, since it is smaller than the sum of its proper divisors (4585909646080).

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

2506316422400 is a wasteful number, since it uses less digits than its factorization.

2506316422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19629 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 2506316422400 in words is "two trillion, five hundred six billion, three hundred sixteen million, four hundred twenty-two thousand, four hundred".