2591771952 has 160 divisors (see below), whose sum is σ = 8372035584. Its totient is φ = 671212800.

The previous prime is 2591771947. The next prime is 2591771999.

It is a happy number.

2591771952 is nontrivially palindromic in base 10.

2591771952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592163 + ... + 1593789.

Almost surely, 2^2591771952 is an apocalyptic number.

2591771952 is a gapful number since it is divisible by the number (22) 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 2591771952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186017792).

2591771952 is an abundant number, since it is smaller than the sum of its proper divisors (5780263632).

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

2591771952 is a wasteful number, since it uses less digits than its factorization.

2591771952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its digits is 396900, while the sum is 48.

The square root of 2591771952 is about 50909.4485532892. The cubic root of 2591771952 is about 1373.6168044205.

The spelling of 2591771952 in words is "two billion, five hundred ninety-one million, seven hundred seventy-one thousand, nine hundred fifty-two".