2285737142400 has 768 divisors, whose sum is σ = 8604424281600. Its totient is φ = 592220160000.

The previous prime is 2285737142393. The next prime is 2285737142401. The reversal of 2285737142400 is 42417375822.

2285737142400 is a `hidden beast` number, since 2 + 2 + 8 + 573 + 71 + 4 + 2 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2285737142401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 959989210 + ... + 959991590.

It is an arithmetic number, because the mean of its divisors is an integer number (11203677450).

Almost surely, 2^{2285737142400} is an apocalyptic number.

2285737142400 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 2285737142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302212140800).

2285737142400 is an abundant number, since it is smaller than the sum of its proper divisors (6318687139200).

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

2285737142400 is a wasteful number, since it uses less digits than its factorization.

2285737142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2285737142400 in words is "two trillion, two hundred eighty-five billion, seven hundred thirty-seven million, one hundred forty-two thousand, four hundred".