2434001402040 has 192 divisors, whose sum is σ = 7995751509600. Its totient is φ = 592406470656.

The previous prime is 2434001402039. The next prime is 2434001402093. The reversal of 2434001402040 is 402041004342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2434001402040.

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 47 ways as a sum of consecutive naturals, for example, 1130652 + ... + 2479188.

Almost surely, 2^{2434001402040} is an apocalyptic number.

2434001402040 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 2434001402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997875754800).

2434001402040 is an abundant number, since it is smaller than the sum of its proper divisors (5561750107560).

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

2434001402040 is a wasteful number, since it uses less digits than its factorization.

2434001402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348666 (or 1348649 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2434001402040 its reverse (402041004342), we get a palindrome (2836042406382).

The spelling of 2434001402040 in words is "two trillion, four hundred thirty-four billion, one million, four hundred two thousand, forty".