2790612000 has 768 divisors, whose sum is σ = 11604902400. Its totient is φ = 653184000.

The previous prime is 2790611977. The next prime is 2790612007. The reversal of 2790612000 is 2160972.

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

It is not an unprimeable number, because it can be changed into a prime (2790612007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96227986 + ... + 96228014.

It is an arithmetic number, because the mean of its divisors is an integer number (15110550).

Almost surely, 2^2790612000 is an apocalyptic number.

2790612000 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 2790612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802451200).

2790612000 is an abundant number, since it is smaller than the sum of its proper divisors (8814290400).

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

2790612000 is an equidigital number, since it uses as much as digits as its factorization.

2790612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

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

The square root of 2790612000 is about 52826.2434780290. The cubic root of 2790612000 is about 1407.8827435497.

Adding to 2790612000 its reverse (2160972), we get a palindrome (2792772972).

The spelling of 2790612000 in words is "two billion, seven hundred ninety million, six hundred twelve thousand".