2619591540 has 96 divisors (see below), whose sum is σ = 7781526144. Its totient is φ = 656179200.

The previous prime is 2619591539. The next prime is 2619591551. The reversal of 2619591540 is 451959162.

2619591540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2619591492 and 2619591501.

It is a congruent number.

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, 586315 + ... + 590765.

It is an arithmetic number, because the mean of its divisors is an integer number (81057564).

Almost surely, 2^2619591540 is an apocalyptic number.

2619591540 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 2619591540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890763072).

2619591540 is an abundant number, since it is smaller than the sum of its proper divisors (5161934604).

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

2619591540 is a wasteful number, since it uses less digits than its factorization.

2619591540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 2619591540 is about 51181.9454495430. The cubic root of 2619591540 is about 1378.5140379852.

The spelling of 2619591540 in words is "two billion, six hundred nineteen million, five hundred ninety-one thousand, five hundred forty".