2968623840 has 768 divisors, whose sum is σ = 12531456000. Its totient is φ = 585252864.

The previous prime is 2968623797. The next prime is 2968623877. The reversal of 2968623840 is 483268692.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2968623840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40666044 + ... + 40666116.

It is an arithmetic number, because the mean of its divisors is an integer number (16317000).

Almost surely, 2^2968623840 is an apocalyptic number.

2968623840 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 2968623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265728000).

2968623840 is an abundant number, since it is smaller than the sum of its proper divisors (9562832160).

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

2968623840 is a wasteful number, since it uses less digits than its factorization.

2968623840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2968623840 is about 54485.0790583991. The cubic root of 2968623840 is about 1437.2039106870.

The spelling of 2968623840 in words is "two billion, nine hundred sixty-eight million, six hundred twenty-three thousand, eight hundred forty".