2633426516400 has 240 divisors, whose sum is σ = 8889238314240. Its totient is φ = 664574284800.

The previous prime is 2633426516387. The next prime is 2633426516407. The reversal of 2633426516400 is 46156243362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2633426516407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21393429 + ... + 21516171.

It is an arithmetic number, because the mean of its divisors is an integer number (37038492976).

Almost surely, 2^{2633426516400} is an apocalyptic number.

2633426516400 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 2633426516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444619157120).

2633426516400 is an abundant number, since it is smaller than the sum of its proper divisors (6255811797840).

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

2633426516400 is a wasteful number, since it uses less digits than its factorization.

2633426516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123724 (or 123713 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2633426516400 in words is "two trillion, six hundred thirty-three billion, four hundred twenty-six million, five hundred sixteen thousand, four hundred".