2903052768 has 192 divisors, whose sum is σ = 9531260928. Its totient is φ = 751633920.

The previous prime is 2903052767. The next prime is 2903052773. The reversal of 2903052768 is 8672503092.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903052767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4486621 + ... + 4487267.

It is an arithmetic number, because the mean of its divisors is an integer number (49641984).

Almost surely, 2^2903052768 is an apocalyptic number.

2903052768 is a gapful number since it is divisible by the number (28) 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 2903052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765630464).

2903052768 is an abundant number, since it is smaller than the sum of its proper divisors (6628208160).

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

2903052768 is a wasteful number, since it uses less digits than its factorization.

2903052768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2903052768 is about 53879.9848552317. The cubic root of 2903052768 is about 1426.5433600400.

The spelling of 2903052768 in words is "two billion, nine hundred three million, fifty-two thousand, seven hundred sixty-eight".