2678952840 has 128 divisors (see below), whose sum is σ = 8223120000. Its totient is φ = 697948160.

The previous prime is 2678952827. The next prime is 2678952877. The reversal of 2678952840 is 482598762.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1786411 + ... + 1787909.

It is an arithmetic number, because the mean of its divisors is an integer number (64243125).

Almost surely, 2^2678952840 is an apocalyptic number.

2678952840 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 2678952840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111560000).

2678952840 is an abundant number, since it is smaller than the sum of its proper divisors (5544167160).

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

2678952840 is a wasteful number, since it uses less digits than its factorization.

2678952840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2678952840 is about 51758.6016039846. The cubic root of 2678952840 is about 1388.8489755309.

The spelling of 2678952840 in words is "two billion, six hundred seventy-eight million, nine hundred fifty-two thousand, eight hundred forty".