2012736416 has 48 divisors (see below), whose sum is σ = 4109502600. Its totient is φ = 969228288.

The previous prime is 2012736391. The next prime is 2012736433. The reversal of 2012736416 is 6146372102.

It can be written as a sum of positive squares in 4 ways, for example, as 1339852816 + 672883600 = 36604^2 + 25940^2 .

It is a super-2 number, since 2×2012736416² = 8102215760585050112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399320 + ... + 404328.

Almost surely, 2^2012736416 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 2012736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054751300).

2012736416 is an abundant number, since it is smaller than the sum of its proper divisors (2096766184).

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

2012736416 is a wasteful number, since it uses less digits than its factorization.

2012736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2012736416 is about 44863.5310246530. The cubic root of 2012736416 is about 1262.5898724507.

The spelling of 2012736416 in words is "two billion, twelve million, seven hundred thirty-six thousand, four hundred sixteen".