2608970000 has 400 divisors, whose sum is σ = 8069816832. Its totient is φ = 794880000.

The previous prime is 2608969963. The next prime is 2608970027. The reversal of 2608970000 is 798062.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 42769970 + ... + 42770030.

Almost surely, 2^2608970000 is an apocalyptic number.

2608970000 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 2608970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034908416).

2608970000 is an abundant number, since it is smaller than the sum of its proper divisors (5460846832).

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

2608970000 is a wasteful number, since it uses less digits than its factorization.

2608970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2608970000 is about 51078.0774892713. The cubic root of 2608970000 is about 1376.6483812202.

The spelling of 2608970000 in words is "two billion, six hundred eight million, nine hundred seventy thousand".