2274125414400 has 1764 divisors, whose sum is σ = 10232318495952. Its totient is φ = 489223618560.

The previous prime is 2274125414329. The next prime is 2274125414479. The reversal of 2274125414400 is 44145214722.

2274125414400 is a `hidden beast` number, since 2 + 2 + 74 + 1 + 2 + 541 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 133772083192 + ... + 133772083208.

It is an arithmetic number, because the mean of its divisors is an integer number (5800634068).

Almost surely, 2^{2274125414400} is an apocalyptic number.

2274125414400 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 2274125414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116159247976).

2274125414400 is an abundant number, since it is smaller than the sum of its proper divisors (7958193081552).

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

2274125414400 is an frugal number, since it uses more digits than its factorization.

2274125414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 2274125414400 in words is "two trillion, two hundred seventy-four billion, one hundred twenty-five million, four hundred fourteen thousand, four hundred".