2605284120 has 128 divisors (see below), whose sum is σ = 7960320000. Its totient is φ = 682007040.

The previous prime is 2605284109. The next prime is 2605284131. The reversal of 2605284120 is 214825062.

2605284120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2605284109) and next prime (2605284131).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1885830 + ... + 1887210.

It is an arithmetic number, because the mean of its divisors is an integer number (62190000).

Almost surely, 2^2605284120 is an apocalyptic number.

2605284120 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 2605284120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980160000).

2605284120 is an abundant number, since it is smaller than the sum of its proper divisors (5355035880).

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

2605284120 is a wasteful number, since it uses less digits than its factorization.

2605284120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2605284120 is about 51041.9838956128. The cubic root of 2605284120 is about 1375.9997788782. Note that the first 3 decimals are identical.

The spelling of 2605284120 in words is "two billion, six hundred five million, two hundred eighty-four thousand, one hundred twenty".