2961435840 has 448 divisors, whose sum is σ = 10902574080. Its totient is φ = 674037760.

The previous prime is 2961435839. The next prime is 2961435901. The reversal of 2961435840 is 485341692.

It is a junction number, because it is equal to n+sod(n) for n = 2961435792 and 2961435801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21616252 + ... + 21616388.

Almost surely, 2^2961435840 is an apocalyptic number.

2961435840 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 2961435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451287040).

2961435840 is an abundant number, since it is smaller than the sum of its proper divisors (7941138240).

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

2961435840 is a wasteful number, since it uses less digits than its factorization.

2961435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2961435840 is about 54419.0760671293. The cubic root of 2961435840 is about 1436.0429944478.

The spelling of 2961435840 in words is "two billion, nine hundred sixty-one million, four hundred thirty-five thousand, eight hundred forty".