2641920000 has 320 divisors, whose sum is σ = 9008178960. Its totient is φ = 688128000.

The previous prime is 2641919989. The next prime is 2641920013. The reversal of 2641920000 is 291462.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61439979 + ... + 61440021.

Almost surely, 2^2641920000 is an apocalyptic number.

2641920000 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 2641920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504089480).

2641920000 is an abundant number, since it is smaller than the sum of its proper divisors (6366258960).

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

2641920000 is an frugal number, since it uses more digits than its factorization.

2641920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2641920000 is about 51399.6108934688. The cubic root of 2641920000 is about 1382.4196156339.

The spelling of 2641920000 in words is "two billion, six hundred forty-one million, nine hundred twenty thousand".