2912829440 has 180 divisors, whose sum is σ = 7418579868. Its totient is φ = 1097072640.

The previous prime is 2912829431. The next prime is 2912829443. The reversal of 2912829440 is 449282192.

It can be written as a sum of positive squares in 2 ways, for example, as 1905147904 + 1007681536 = 43648^2 + 31744^2 .

It is not an unprimeable number, because it can be changed into a prime (2912829443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78725102 + ... + 78725138.

Almost surely, 2^2912829440 is an apocalyptic number.

2912829440 is a gapful number since it is divisible by the number (20) 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 2912829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709289934).

2912829440 is an abundant number, since it is smaller than the sum of its proper divisors (4505750428).

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

2912829440 is an frugal number, since it uses more digits than its factorization.

2912829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 2912829440 is about 53970.6349786622. The cubic root of 2912829440 is about 1428.1429657542.

The spelling of 2912829440 in words is "two billion, nine hundred twelve million, eight hundred twenty-nine thousand, four hundred forty".