2435942960 has 80 divisors (see below), whose sum is σ = 6229770912. Its totient is φ = 885758720.

The previous prime is 2435942941. The next prime is 2435943031. The reversal of 2435942960 is 692495342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95042 + ... + 117918.

Almost surely, 2^2435942960 is an apocalyptic number.

2435942960 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 2435942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114885456).

2435942960 is an abundant number, since it is smaller than the sum of its proper divisors (3793827952).

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

2435942960 is a wasteful number, since it uses less digits than its factorization.

2435942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923 (or 22895 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 2435942960 is about 49355.2728692690. The cubic root of 2435942960 is about 1345.5165320734.

The spelling of 2435942960 in words is "two billion, four hundred thirty-five million, nine hundred forty-two thousand, nine hundred sixty".