2083725000 has 576 divisors, whose sum is σ = 8530704000. Its totient is φ = 476280000.

The previous prime is 2083724999. The next prime is 2083725019. The reversal of 2083725000 is 5273802.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 143 ways as a sum of consecutive naturals, for example, 297674997 + ... + 297675003.

It is an arithmetic number, because the mean of its divisors is an integer number (14810250).

Almost surely, 2^2083725000 is an apocalyptic number.

2083725000 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 2083725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352000).

2083725000 is an abundant number, since it is smaller than the sum of its proper divisors (6446979000).

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

2083725000 is an frugal number, since it uses more digits than its factorization.

2083725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2083725000 is about 45647.8367504967. The cubic root of 2083725000 is about 1277.2624190704.

Multiplying 2083725000 by its product of nonzero digits (3360), we get a square (7001316000000 = 2646000²).

Adding to 2083725000 its reverse (5273802), we get a palindrome (2088998802).

The spelling of 2083725000 in words is "two billion, eighty-three million, seven hundred twenty-five thousand".