2678742000 has 480 divisors, whose sum is σ = 10392834816. Its totient is φ = 637632000.

The previous prime is 2678741993. The next prime is 2678742049. The reversal of 2678742000 is 2478762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16433919 + ... + 16434081.

Almost surely, 2^2678742000 is an apocalyptic number.

2678742000 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 2678742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196417408).

2678742000 is an abundant number, since it is smaller than the sum of its proper divisors (7714092816).

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

2678742000 is a wasteful number, since it uses less digits than its factorization.

2678742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2678742000 is about 51756.5648009989. The cubic root of 2678742000 is about 1388.8125393289.

The spelling of 2678742000 in words is "two billion, six hundred seventy-eight million, seven hundred forty-two thousand".