2626409016 has 384 divisors, whose sum is σ = 9810201600. Its totient is φ = 641571840.

The previous prime is 2626408991. The next prime is 2626409029. The reversal of 2626409016 is 6109046262.

2626409016 is a `hidden beast` number, since 2 + 6 + 2 + 640 + 9 + 0 + 1 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1978545 + ... + 1979871.

It is an arithmetic number, because the mean of its divisors is an integer number (25547400).

Almost surely, 2^2626409016 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 2626409016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905100800).

2626409016 is an abundant number, since it is smaller than the sum of its proper divisors (7183792584).

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

2626409016 is a wasteful number, since it uses less digits than its factorization.

2626409016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2626409016 is about 51248.5025732460. The cubic root of 2626409016 is about 1379.7088610779.

The spelling of 2626409016 in words is "two billion, six hundred twenty-six million, four hundred nine thousand, sixteen".