2968943040 has 672 divisors, whose sum is σ = 12857195520. Its totient is φ = 613122048.

The previous prime is 2968943039. The next prime is 2968943057. The reversal of 2968943040 is 403498692.

2968943040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8809752 + ... + 8810088.

Almost surely, 2^2968943040 is an apocalyptic number.

2968943040 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 2968943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428597760).

2968943040 is an abundant number, since it is smaller than the sum of its proper divisors (9888252480).

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

2968943040 is a wasteful number, since it uses less digits than its factorization.

2968943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2968943040 is about 54488.0082219932. The cubic root of 2968943040 is about 1437.2554204180.

The spelling of 2968943040 in words is "two billion, nine hundred sixty-eight million, nine hundred forty-three thousand, forty".