2040240332000 has 288 divisors, whose sum is σ = 5467441019040. Its totient is φ = 747865497600.

The previous prime is 2040240331979. The next prime is 2040240332021. The reversal of 2040240332000 is 2330420402.

It is an interprime number because it is at equal distance from previous prime (2040240331979) and next prime (2040240332021).

It is a super-2 number, since 2×2040240332000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 93953144 + ... + 93974856.

It is an arithmetic number, because the mean of its divisors is an integer number (18984170205).

Almost surely, 2^{2040240332000} is an apocalyptic number.

2040240332000 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 2040240332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733720509520).

2040240332000 is an abundant number, since it is smaller than the sum of its proper divisors (3427200687040).

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

2040240332000 is a wasteful number, since it uses less digits than its factorization.

2040240332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21903 (or 21872 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2040240332000 its reverse (2330420402), we get a palindrome (2042570752402).

The spelling of 2040240332000 in words is "two trillion, forty billion, two hundred forty million, three hundred thirty-two thousand".