2648619000 has 320 divisors, whose sum is σ = 9751341600. Its totient is φ = 668736000.

The previous prime is 2648618993. The next prime is 2648619011. The reversal of 2648619000 is 9168462.

2648619000 is a `hidden beast` number, since 2 + 648 + 6 + 1 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2648619000² = 14030365214322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1538140 + ... + 1539860.

Almost surely, 2^2648619000 is an apocalyptic number.

2648619000 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 2648619000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875670800).

2648619000 is an abundant number, since it is smaller than the sum of its proper divisors (7102722600).

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

2648619000 is a wasteful number, since it uses less digits than its factorization.

2648619000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2648619000 is about 51464.7354991746. The cubic root of 2648619000 is about 1383.5870762418.

The spelling of 2648619000 in words is "two billion, six hundred forty-eight million, six hundred nineteen thousand".