2968124040 has 192 divisors, whose sum is σ = 11509257600. Its totient is φ = 678416256.

The previous prime is 2968124023. The next prime is 2968124041. The reversal of 2968124040 is 404218692.

2968124040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2968123986 and 2968124004.

It is not an unprimeable number, because it can be changed into a prime (2968124041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24877 + ... + 80963.

It is an arithmetic number, because the mean of its divisors is an integer number (59944050).

Almost surely, 2^2968124040 is an apocalyptic number.

2968124040 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 2968124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754628800).

2968124040 is an abundant number, since it is smaller than the sum of its proper divisors (8541133560).

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

2968124040 is a wasteful number, since it uses less digits than its factorization.

2968124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56121 (or 56104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2968124040 is about 54480.4922885247. The cubic root of 2968124040 is about 1437.1232498747.

The spelling of 2968124040 in words is "two billion, nine hundred sixty-eight million, one hundred twenty-four thousand, forty".