2302412400144 has 240 divisors, whose sum is σ = 6632873754624. Its totient is φ = 745326892800.

The previous prime is 2302412400059. The next prime is 2302412400173. The reversal of 2302412400144 is 4410042142032.

2302412400144 is a `hidden beast` number, since 2 + 3 + 0 + 241 + 2 + 400 + 14 + 4 = 666.

It is a super-2 number, since 2×2302412400144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201131029 + ... + 201142475.

Almost surely, 2^{2302412400144} is an apocalyptic number.

2302412400144 is a gapful number since it is divisible by the number (24) 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 2302412400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316436877312).

2302412400144 is an abundant number, since it is smaller than the sum of its proper divisors (4330461354480).

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

2302412400144 is a wasteful number, since it uses less digits than its factorization.

2302412400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11826 (or 11817 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2302412400144 its reverse (4410042142032), we get a palindrome (6712454542176).

The spelling of 2302412400144 in words is "two trillion, three hundred two billion, four hundred twelve million, four hundred thousand, one hundred forty-four".