2963408640 has 288 divisors, whose sum is σ = 9829645056. Its totient is φ = 760381440.

The previous prime is 2963408633. The next prime is 2963408653. The reversal of 2963408640 is 468043692.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2963408592 and 2963408601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21630652 + ... + 21630788.

It is an arithmetic number, because the mean of its divisors is an integer number (34130712).

Almost surely, 2^2963408640 is an apocalyptic number.

2963408640 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 2963408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914822528).

2963408640 is an abundant number, since it is smaller than the sum of its proper divisors (6866236416).

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

2963408640 is a wasteful number, since it uses less digits than its factorization.

2963408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2963408640 is about 54437.1990462404. The cubic root of 2963408640 is about 1436.3618033994.

The spelling of 2963408640 in words is "two billion, nine hundred sixty-three million, four hundred eight thousand, six hundred forty".