2819039040 has 168 divisors, whose sum is σ = 9740252808. Its totient is φ = 748339200.

The previous prime is 2819039039. The next prime is 2819039051. The reversal of 2819039040 is 409309182.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 2785306176 = 5808^2 + 52776^2 .

It is a super-2 number, since 2×2819039040² = 15893962218088243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2819038986 and 2819039004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668940 + ... + 673140.

Almost surely, 2^2819039040 is an apocalyptic number.

2819039040 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 2819039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870126404).

2819039040 is an abundant number, since it is smaller than the sum of its proper divisors (6921213768).

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

2819039040 is a wasteful number, since it uses less digits than its factorization.

2819039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2819039040 is about 53094.6234566175. The cubic root of 2819039040 is about 1412.6471472255.

The spelling of 2819039040 in words is "two billion, eight hundred nineteen million, thirty-nine thousand, forty".