2903249664 has 216 divisors, whose sum is σ = 10130309280. Its totient is φ = 780632064.

The previous prime is 2903249663. The next prime is 2903249707. The reversal of 2903249664 is 4669423092.

It is a super-2 number, since 2×2903249664² = 16857717223032225792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2903249663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268882 + ... + 279470.

It is an arithmetic number, because the mean of its divisors is an integer number (46899580).

Almost surely, 2^2903249664 is an apocalyptic number.

2903249664 is a gapful number since it is divisible by the number (24) 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 2903249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065154640).

2903249664 is an abundant number, since it is smaller than the sum of its proper divisors (7227059616).

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

2903249664 is a wasteful number, since it uses less digits than its factorization.

2903249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2903249664 is about 53881.8119962571. The cubic root of 2903249664 is about 1426.5756104966.

The spelling of 2903249664 in words is "two billion, nine hundred three million, two hundred forty-nine thousand, six hundred sixty-four".