2819682000 has 240 divisors, whose sum is σ = 10080003648. Its totient is φ = 734227200.

The previous prime is 2819681989. The next prime is 2819682011. The reversal of 2819682000 is 2869182.

It is an interprime number because it is at equal distance from previous prime (2819681989) and next prime (2819682011).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2819682000² = 15901213162248000000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772179 + ... + 775821.

Almost surely, 2^2819682000 is an apocalyptic number.

2819682000 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 2819682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040001824).

2819682000 is an abundant number, since it is smaller than the sum of its proper divisors (7260321648).

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

2819682000 is a wasteful number, since it uses less digits than its factorization.

2819682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2819682000 is about 53100.6779617737. The cubic root of 2819682000 is about 1412.7545368423.

The spelling of 2819682000 in words is "two billion, eight hundred nineteen million, six hundred eighty-two thousand".