2668512000 has 864 divisors, whose sum is σ = 11662769664. Its totient is φ = 525312000.

The previous prime is 2668511987. The next prime is 2668512013. The reversal of 2668512000 is 2158662.

It is an interprime number because it is at equal distance from previous prime (2668511987) and next prime (2668512013).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 140447991 + ... + 140448009.

It is an arithmetic number, because the mean of its divisors is an integer number (13498576).

Almost surely, 2^2668512000 is an apocalyptic number.

2668512000 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 2668512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831384832).

2668512000 is an abundant number, since it is smaller than the sum of its proper divisors (8994257664).

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

2668512000 is a wasteful number, since it uses less digits than its factorization.

2668512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2668512000 is about 51657.6422226179. The cubic root of 2668512000 is about 1387.0423456140.

The spelling of 2668512000 in words is "two billion, six hundred sixty-eight million, five hundred twelve thousand".