2679016032 has 480 divisors, whose sum is σ = 10163349504. Its totient is φ = 671846400.

The previous prime is 2679016019. The next prime is 2679016049. The reversal of 2679016032 is 2306109762.

2679016032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6186888 + ... + 6187320.

Almost surely, 2^2679016032 is an apocalyptic number.

2679016032 is a gapful number since it is divisible by the number (22) 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 2679016032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081674752).

2679016032 is an abundant number, since it is smaller than the sum of its proper divisors (7484333472).

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

2679016032 is a wasteful number, since it uses less digits than its factorization.

2679016032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2679016032 is about 51759.2120496439. The cubic root of 2679016032 is about 1388.8598956503.

The spelling of 2679016032 in words is "two billion, six hundred seventy-nine million, sixteen thousand, thirty-two".