2040457829088 has 288 divisors, whose sum is σ = 6346301560704. Its totient is φ = 572232342528.

The previous prime is 2040457829087. The next prime is 2040457829117. The reversal of 2040457829088 is 8809287540402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040457829087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89181106 + ... + 89203982.

It is an arithmetic number, because the mean of its divisors is an integer number (22035769308).

Almost surely, 2^{2040457829088} is an apocalyptic number.

2040457829088 is a gapful number since it is divisible by the number (28) 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 2040457829088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173150780352).

2040457829088 is an abundant number, since it is smaller than the sum of its proper divisors (4305843731616).

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

2040457829088 is a wasteful number, since it uses less digits than its factorization.

2040457829088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23254 (or 23239 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 2040457829088 in words is "two trillion, forty billion, four hundred fifty-seven million, eight hundred twenty-nine thousand, eighty-eight".