2960712000 has 336 divisors, whose sum is σ = 10990429632. Its totient is φ = 789004800.

The previous prime is 2960711989. The next prime is 2960712019. The reversal of 2960712000 is 2170692.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943239 + ... + 1944761.

It is an arithmetic number, because the mean of its divisors is an integer number (32709612).

Almost surely, 2^2960712000 is an apocalyptic number.

2960712000 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 2960712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495214816).

2960712000 is an abundant number, since it is smaller than the sum of its proper divisors (8029717632).

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

2960712000 is an equidigital number, since it uses as much as digits as its factorization.

2960712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2960712000 is about 54412.4250516369. The cubic root of 2960712000 is about 1435.9259847586.

Adding to 2960712000 its reverse (2170692), we get a palindrome (2962882692).

The spelling of 2960712000 in words is "two billion, nine hundred sixty million, seven hundred twelve thousand".