2678365440 has 432 divisors, whose sum is σ = 9821011200. Its totient is φ = 698720256.

The previous prime is 2678365421. The next prime is 2678365493. The reversal of 2678365440 is 445638762.

2678365440 is a `hidden beast` number, since 2 + 6 + 78 + 36 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24572106 + ... + 24572214.

Almost surely, 2^2678365440 is an apocalyptic number.

2678365440 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 2678365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910505600).

2678365440 is an abundant number, since it is smaller than the sum of its proper divisors (7142645760).

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

2678365440 is an equidigital number, since it uses as much as digits as its factorization.

2678365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2678365440 is about 51752.9268737528. The cubic root of 2678365440 is about 1388.7474595568.

The spelling of 2678365440 in words is "two billion, six hundred seventy-eight million, three hundred sixty-five thousand, four hundred forty".