2678826720 has 192 divisors, whose sum is σ = 8926848000. Its totient is φ = 673376256.

The previous prime is 2678826713. The next prime is 2678826727. The reversal of 2678826720 is 276288762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2678826713) and next prime (2678826727).

It is a super-2 number, since 2×2678826720² = 14352225191571916800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2678826720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678826727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2179066 + ... + 2180294.

It is an arithmetic number, because the mean of its divisors is an integer number (46494000).

Almost surely, 2^2678826720 is an apocalyptic number.

2678826720 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 2678826720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424000).

2678826720 is an abundant number, since it is smaller than the sum of its proper divisors (6248021280).

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

2678826720 is a wasteful number, since it uses less digits than its factorization.

2678826720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 2678826720 is about 51757.3832414275. The cubic root of 2678826720 is about 1388.8271804003.

The spelling of 2678826720 in words is "two billion, six hundred seventy-eight million, eight hundred twenty-six thousand, seven hundred twenty".