2678517024 has 96 divisors (see below), whose sum is σ = 7470429120. Its totient is φ = 838720512.

The previous prime is 2678517013. The next prime is 2678517029. The reversal of 2678517024 is 4207158762.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2678517029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90007 + ... + 116009.

It is an arithmetic number, because the mean of its divisors is an integer number (77816970).

Almost surely, 2^2678517024 is an apocalyptic number.

2678517024 is a gapful number since it is divisible by the number (24) 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 2678517024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735214560).

2678517024 is an abundant number, since it is smaller than the sum of its proper divisors (4791912096).

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

2678517024 is a wasteful number, since it uses less digits than its factorization.

2678517024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26082 (or 26074 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2678517024 is about 51754.3913499135. The cubic root of 2678517024 is about 1388.7736581131.

The spelling of 2678517024 in words is "two billion, six hundred seventy-eight million, five hundred seventeen thousand, twenty-four".