2245142400 has 192 divisors, whose sum is σ = 7830503280. Its totient is φ = 563445760.

The previous prime is 2245142303. The next prime is 2245142423. The reversal of 2245142400 is 42415422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156322 + ... + 170078.

Almost surely, 2^2245142400 is an apocalyptic number.

2245142400 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 2245142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915251640).

2245142400 is an abundant number, since it is smaller than the sum of its proper divisors (5585360880).

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

2245142400 is a wasteful number, since it uses less digits than its factorization.

2245142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13801 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2245142400 is about 47382.9336364898. The cubic root of 2245142400 is about 1309.4270166716.

Adding to 2245142400 its reverse (42415422), we get a palindrome (2287557822).

The spelling of 2245142400 in words is "two billion, two hundred forty-five million, one hundred forty-two thousand, four hundred".