2890064000 has 64 divisors (see below), whose sum is σ = 7185461400. Its totient is φ = 1156019200.

The previous prime is 2890063999. The next prime is 2890064003. The reversal of 2890064000 is 4600982.

It can be written as a sum of positive squares in 4 ways, for example, as 1940931136 + 949132864 = 44056^2 + 30808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2890064003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74315 + ... + 106314.

Almost surely, 2^2890064000 is an apocalyptic number.

2890064000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2890064000 is an abundant number, since it is smaller than the sum of its proper divisors (4295397400).

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

2890064000 is an equidigital number, since it uses as much as digits as its factorization.

2890064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180658 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2890064000 is about 53759.3154718324. The cubic root of 2890064000 is about 1424.4126439532.

Adding to 2890064000 its reverse (4600982), we get a palindrome (2894664982).

The spelling of 2890064000 in words is "two billion, eight hundred ninety million, sixty-four thousand".