2274354320400 has 840 divisors, whose sum is σ = 8494408465920. Its totient is φ = 584319744000.

The previous prime is 2274354320347. The next prime is 2274354320473. The reversal of 2274354320400 is 40234534722.

2274354320400 is a `hidden beast` number, since 2 + 2 + 74 + 3 + 543 + 2 + 0 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2811315196 + ... + 2811316004.

Almost surely, 2^{2274354320400} is an apocalyptic number.

2274354320400 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 2274354320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247204232960).

2274354320400 is an abundant number, since it is smaller than the sum of its proper divisors (6220054145520).

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

2274354320400 is a wasteful number, since it uses less digits than its factorization.

2274354320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 2274354320400 in words is "two trillion, two hundred seventy-four billion, three hundred fifty-four million, three hundred twenty thousand, four hundred".