2082618720 has 576 divisors, whose sum is σ = 9140511744. Its totient is φ = 419696640.

The previous prime is 2082618689. The next prime is 2082618749. The reversal of 2082618720 is 278162802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3013575 + ... + 3014265.

It is an arithmetic number, because the mean of its divisors is an integer number (15868944).

Almost surely, 2^2082618720 is an apocalyptic number.

2082618720 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 2082618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570255872).

2082618720 is an abundant number, since it is smaller than the sum of its proper divisors (7057893024).

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

2082618720 is a wasteful number, since it uses less digits than its factorization.

2082618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2082618720 is about 45635.7175905014. The cubic root of 2082618720 is about 1277.0363399724.

The spelling of 2082618720 in words is "two billion, eighty-two million, six hundred eighteen thousand, seven hundred twenty".