2245251241200 has 120 divisors (see below), whose sum is σ = 7846132565376. Its totient is φ = 544303328000.

The previous prime is 2245251241199. The next prime is 2245251241201. The reversal of 2245251241200 is 21421525422.

It is an interprime number because it is at equal distance from previous prime (2245251241199) and next prime (2245251241201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2245251241200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245251241201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85034196 + ... + 85060595.

Almost surely, 2^{2245251241200} is an apocalyptic number.

2245251241200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245251241200 is an abundant number, since it is smaller than the sum of its proper divisors (5600881324176).

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

2245251241200 is a wasteful number, since it uses less digits than its factorization.

2245251241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170094823 (or 170094812 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2245251241200 its reverse (21421525422), we get a palindrome (2266672766622).

The spelling of 2245251241200 in words is "two trillion, two hundred forty-five billion, two hundred fifty-one million, two hundred forty-one thousand, two hundred".