2434491110940 has 288 divisors, whose sum is σ = 7978705809984. Its totient is φ = 553007185920.

The previous prime is 2434491110929. The next prime is 2434491110959. The reversal of 2434491110940 is 490111944342.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2434491110892 and 2434491110901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840347572 + ... + 840350468.

It is an arithmetic number, because the mean of its divisors is an integer number (27703839618).

Almost surely, 2^{2434491110940} is an apocalyptic number.

2434491110940 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 2434491110940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989352904992).

2434491110940 is an abundant number, since it is smaller than the sum of its proper divisors (5544214699044).

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

2434491110940 is a wasteful number, since it uses less digits than its factorization.

2434491110940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2434491110940 in words is "two trillion, four hundred thirty-four billion, four hundred ninety-one million, one hundred ten thousand, nine hundred forty".