2016858029472 has 1536 divisors, whose sum is σ = 7588534947840. Its totient is φ = 511678218240.

The previous prime is 2016858029413. The next prime is 2016858029491. The reversal of 2016858029472 is 2749208586102.

2016858029472 is a `hidden beast` number, since 2 + 0 + 16 + 8 + 580 + 2 + 9 + 47 + 2 = 666.

It is a super-2 number, since 2×2016858029472² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12373362063 + ... + 12373362225.

It is an arithmetic number, because the mean of its divisors is an integer number (4940452440).

Almost surely, 2^{2016858029472} is an apocalyptic number.

2016858029472 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 2016858029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794267473920).

2016858029472 is an abundant number, since it is smaller than the sum of its proper divisors (5571676918368).

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

2016858029472 is a wasteful number, since it uses less digits than its factorization.

2016858029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2016858029472 in words is "two trillion, sixteen billion, eight hundred fifty-eight million, twenty-nine thousand, four hundred seventy-two".