2172450746400 has 288 divisors, whose sum is σ = 7777940054976. Its totient is φ = 526653952000.

The previous prime is 2172450746393. The next prime is 2172450746407. The reversal of 2172450746400 is 46470542712.

It is an interprime number because it is at equal distance from previous prime (2172450746393) and next prime (2172450746407).

It is a super-2 number, since 2×2172450746400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2172450746407) 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, 2854360 + ... + 3534440.

It is an arithmetic number, because the mean of its divisors is an integer number (27006736302).

Almost surely, 2^{2172450746400} is an apocalyptic number.

2172450746400 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 2172450746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888970027488).

2172450746400 is an abundant number, since it is smaller than the sum of its proper divisors (5605489308576).

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

2172450746400 is a wasteful number, since it uses less digits than its factorization.

2172450746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680137 (or 680102 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 2172450746400 in words is "two trillion, one hundred seventy-two billion, four hundred fifty million, seven hundred forty-six thousand, four hundred".