2641250000 has 80 divisors (see below), whose sum is σ = 6399788304. Its totient is φ = 1056000000.

The previous prime is 2641249981. The next prime is 2641250039. The reversal of 2641250000 is 521462.

It is a happy number.

2641250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1087944256 + 1553305744 = 32984^2 + 39412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248944 + ... + 1251056.

Almost surely, 2^2641250000 is an apocalyptic number.

2641250000 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 2641250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199894152).

2641250000 is an abundant number, since it is smaller than the sum of its proper divisors (3758538304).

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

2641250000 is an frugal number, since it uses more digits than its factorization.

2641250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2641250000 is about 51393.0929211309. The cubic root of 2641250000 is about 1382.3027436303.

Adding to 2641250000 its reverse (521462), we get a palindrome (2641771462).

The spelling of 2641250000 in words is "two billion, six hundred forty-one million, two hundred fifty thousand".