2024340556416 has 128 divisors (see below), whose sum is σ = 5408116752960. Its totient is φ = 670902804480.

The previous prime is 2024340556393. The next prime is 2024340556429. The reversal of 2024340556416 is 6146550434202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66319590 + ... + 66350106.

Almost surely, 2^{2024340556416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024340556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704058376480).

2024340556416 is an abundant number, since it is smaller than the sum of its proper divisors (3383776196544).

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

2024340556416 is a wasteful number, since it uses less digits than its factorization.

2024340556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31522 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 2024340556416 in words is "two trillion, twenty-four billion, three hundred forty million, five hundred fifty-six thousand, four hundred sixteen".