2678042400 has 432 divisors, whose sum is σ = 10072042848. Its totient is φ = 612864000.

The previous prime is 2678042383. The next prime is 2678042401. The reversal of 2678042400 is 42408762.

It is a super-2 number, since 2×2678042400² = 14343822192395520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678042401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9530260 + ... + 9530540.

It is an arithmetic number, because the mean of its divisors is an integer number (23314914).

Almost surely, 2^2678042400 is an apocalyptic number.

2678042400 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 2678042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036021424).

2678042400 is an abundant number, since it is smaller than the sum of its proper divisors (7394000448).

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

2678042400 is a wasteful number, since it uses less digits than its factorization.

2678042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2678042400 is about 51749.8057967371. The cubic root of 2678042400 is about 1388.6916246298.

The spelling of 2678042400 in words is "two billion, six hundred seventy-eight million, forty-two thousand, four hundred".