2282676422400 has 1620 divisors, whose sum is σ = 9377316170992. Its totient is φ = 547430400000.

The previous prime is 2282676422399. The next prime is 2282676422417. The reversal of 2282676422400 is 42246762822.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×2282676422400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9471686280 + ... + 9471686520.

Almost surely, 2^{2282676422400} is an apocalyptic number.

2282676422400 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 2282676422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688658085496).

2282676422400 is an abundant number, since it is smaller than the sum of its proper divisors (7094639748592).

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

2282676422400 is a wasteful number, since it uses less digits than its factorization.

2282676422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 2282676422400 in words is "two trillion, two hundred eighty-two billion, six hundred seventy-six million, four hundred twenty-two thousand, four hundred".