2678182752 has 192 divisors, whose sum is σ = 8438169600. Its totient is φ = 727626240.

The previous prime is 2678182751. The next prime is 2678182763. The reversal of 2678182752 is 2572818762.

2678182752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2678182752³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678182751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227999 + ... + 1230177.

It is an arithmetic number, because the mean of its divisors is an integer number (43948800).

Almost surely, 2^2678182752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678182752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219084800).

2678182752 is an abundant number, since it is smaller than the sum of its proper divisors (5759986848).

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

2678182752 is a wasteful number, since it uses less digits than its factorization.

2678182752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2281 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 2678182752 is about 51751.1618420302. The cubic root of 2678182752 is about 1388.7158839223.

The spelling of 2678182752 in words is "two billion, six hundred seventy-eight million, one hundred eighty-two thousand, seven hundred fifty-two".