2678955840 has 336 divisors, whose sum is σ = 10162129536. Its totient is φ = 642355200.

The previous prime is 2678955827. The next prime is 2678955847. The reversal of 2678955840 is 485598762.

2678955840 is a `hidden beast` number, since 2 + 6 + 7 + 89 + 558 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678955847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3262630 + ... + 3263450.

Almost surely, 2^2678955840 is an apocalyptic number.

2678955840 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 2678955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081064768).

2678955840 is an abundant number, since it is smaller than the sum of its proper divisors (7483173696).

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

2678955840 is a wasteful number, since it uses less digits than its factorization.

2678955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2678955840 is about 51758.6305846667. The cubic root of 2678955840 is about 1388.8494939605.

The spelling of 2678955840 in words is "two billion, six hundred seventy-eight million, nine hundred fifty-five thousand, eight hundred forty".