2961935424 has 280 divisors, whose sum is σ = 10362029568. Its totient is φ = 818657280.

The previous prime is 2961935419. The next prime is 2961935437. The reversal of 2961935424 is 4245391692.

2961935424 is a `hidden beast` number, since 2 + 9 + 619 + 3 + 5 + 4 + 24 = 666.

It is a super-2 number, since 2×2961935424² = 17546122911892119552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2961935424.

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 39 ways as a sum of consecutive naturals, for example, 1123612 + ... + 1126244.

Almost surely, 2^2961935424 is an apocalyptic number.

2961935424 is a gapful number since it is divisible by the number (24) 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 2961935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181014784).

2961935424 is an abundant number, since it is smaller than the sum of its proper divisors (7400094144).

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

2961935424 is a wasteful number, since it uses less digits than its factorization.

2961935424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2961935424 is about 54423.6660286681. Note that the first 3 decimals coincide. The cubic root of 2961935424 is about 1436.1237417388.

The spelling of 2961935424 in words is "two billion, nine hundred sixty-one million, nine hundred thirty-five thousand, four hundred twenty-four".