2084413500 has 480 divisors, whose sum is σ = 7591776192. Its totient is φ = 494553600.

The previous prime is 2084413453. The next prime is 2084413517. The reversal of 2084413500 is 53144802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19480447 + ... + 19480553.

Almost surely, 2^2084413500 is an apocalyptic number.

2084413500 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 2084413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795888096).

2084413500 is an abundant number, since it is smaller than the sum of its proper divisors (5507362692).

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

2084413500 is a wasteful number, since it uses less digits than its factorization.

2084413500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2084413500 is about 45655.3775583994. The cubic root of 2084413500 is about 1277.4030803601.

The spelling of 2084413500 in words is "two billion, eighty-four million, four hundred thirteen thousand, five hundred".