2968378560 has 336 divisors, whose sum is σ = 11834262336. Its totient is φ = 668860416.

The previous prime is 2968378529. The next prime is 2968378561. The reversal of 2968378560 is 658738692.

It is a happy number.

2968378560 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 3 + 78 + 560 = 666.

2968378560 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 (336).

It is a super-2 number, since 2×2968378560² = 17622542550935347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2968378497 and 2968378506.

It is not an unprimeable number, because it can be changed into a prime (2968378561) 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, 1470672 + ... + 1472688.

Almost surely, 2^2968378560 is an apocalyptic number.

2968378560 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 2968378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917131168).

2968378560 is an abundant number, since it is smaller than the sum of its proper divisors (8865883776).

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

2968378560 is a wasteful number, since it uses less digits than its factorization.

2968378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2968378560 is about 54482.8281204271. The cubic root of 2968378560 is about 1437.1643270164.

The spelling of 2968378560 in words is "two billion, nine hundred sixty-eight million, three hundred seventy-eight thousand, five hundred sixty".