2400033140120 has 128 divisors (see below), whose sum is σ = 6736971225600. Its totient is φ = 747572198400.

The previous prime is 2400033140093. The next prime is 2400033140147. The reversal of 2400033140120 is 210413300042.

It is an interprime number because it is at equal distance from previous prime (2400033140093) and next prime (2400033140147).

It is a super-2 number, since 2×2400033140120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2400033140092 and 2400033140101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4460996 + ... + 4969964.

It is an arithmetic number, because the mean of its divisors is an integer number (52632587700).

Almost surely, 2^{2400033140120} is an apocalyptic number.

2400033140120 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 2400033140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368485612800).

2400033140120 is an abundant number, since it is smaller than the sum of its proper divisors (4336938085480).

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

2400033140120 is a wasteful number, since it uses less digits than its factorization.

2400033140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510529 (or 510525 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2400033140120 its reverse (210413300042), we get a palindrome (2610446440162).

The spelling of 2400033140120 in words is "two trillion, four hundred billion, thirty-three million, one hundred forty thousand, one hundred twenty".