2640078000 has 480 divisors, whose sum is σ = 11008438272. Its totient is φ = 576576000.

The previous prime is 2640077971. The next prime is 2640078047. The reversal of 2640078000 is 8700462.

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, 2897545 + ... + 2898455.

Almost surely, 2^2640078000 is an apocalyptic number.

2640078000 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 2640078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504219136).

2640078000 is an abundant number, since it is smaller than the sum of its proper divisors (8368360272).

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

2640078000 is a wasteful number, since it uses less digits than its factorization.

2640078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2640078000 is about 51381.6893455246. The cubic root of 2640078000 is about 1382.0982573079.

Adding to 2640078000 its reverse (8700462), we get a palindrome (2648778462).

The spelling of 2640078000 in words is "two billion, six hundred forty million, seventy-eight thousand".