2678920040 has 32 divisors (see below), whose sum is σ = 6029500680. Its totient is φ = 1071224832.

The previous prime is 2678920007. The next prime is 2678920043. The reversal of 2678920040 is 400298762.

It can be written as a sum of positive squares in 4 ways, for example, as 1159947364 + 1518972676 = 34058^2 + 38974^2 .

It is a super-2 number, since 2×2678920040² = 14353225161427203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2678919976 and 2678920003.

It is not an unprimeable number, because it can be changed into a prime (2678920043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142892 + ... + 160548.

Almost surely, 2^2678920040 is an apocalyptic number.

2678920040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678920040 is an abundant number, since it is smaller than the sum of its proper divisors (3350580640).

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

2678920040 is a wasteful number, since it uses less digits than its factorization.

2678920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21461 (or 21457 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2678920040 is about 51758.2847474682. The cubic root of 2678920040 is about 1388.8433073420.

The spelling of 2678920040 in words is "two billion, six hundred seventy-eight million, nine hundred twenty thousand, forty".