2678400000 has 528 divisors, whose sum is σ = 10234344960. Its totient is φ = 691200000.

The previous prime is 2678399959. The next prime is 2678400047. The reversal of 2678400000 is 48762.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 86399985 + ... + 86400015.

Almost surely, 2^2678400000 is an apocalyptic number.

2678400000 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 2678400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117172480).

2678400000 is an abundant number, since it is smaller than the sum of its proper divisors (7555944960).

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

2678400000 is an frugal number, since it uses more digits than its factorization.

2678400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2678400000 is about 51753.2607668348. The cubic root of 2678400000 is about 1388.7534327155.

Adding to 2678400000 its reverse (48762), we get a palindrome (2678448762).

The spelling of 2678400000 in words is "two billion, six hundred seventy-eight million, four hundred thousand".