2400237142464 has 448 divisors, whose sum is σ = 7933334400000. Its totient is φ = 624901423104.

The previous prime is 2400237142463. The next prime is 2400237142517. The reversal of 2400237142464 is 4642417320042.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2400237142464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400237142463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199200312 + ... + 199212360.

Almost surely, 2^{2400237142464} is an apocalyptic number.

2400237142464 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 2400237142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966667200000).

2400237142464 is an abundant number, since it is smaller than the sum of its proper divisors (5533097257536).

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

2400237142464 is a wasteful number, since it uses less digits than its factorization.

2400237142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12388 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 2400237142464 in words is "two trillion, four hundred billion, two hundred thirty-seven million, one hundred forty-two thousand, four hundred sixty-four".