2961609984 has 216 divisors, whose sum is σ = 9160324992. Its totient is φ = 916930560.

The previous prime is 2961609983. The next prime is 2961609991. The reversal of 2961609984 is 4899061692.

2961609984 is a `hidden beast` number, since 29 + 6 + 1 + 609 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×2961609984² = 17542267394656960512, 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 2961609984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961609983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3250489 + ... + 3251399.

It is an arithmetic number, because the mean of its divisors is an integer number (42408912).

Almost surely, 2^2961609984 is an apocalyptic number.

2961609984 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 2961609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580162496).

2961609984 is an abundant number, since it is smaller than the sum of its proper divisors (6198715008).

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

2961609984 is a wasteful number, since it uses less digits than its factorization.

2961609984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2961609984 is about 54420.6760707730. The cubic root of 2961609984 is about 1436.0711422093.

The spelling of 2961609984 in words is "two billion, nine hundred sixty-one million, six hundred nine thousand, nine hundred eighty-four".