2903128704 has 192 divisors, whose sum is σ = 9579660480. Its totient is φ = 826675200.

The previous prime is 2903128699. The next prime is 2903128717. The reversal of 2903128704 is 4078213092.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4200999 + ... + 4201689.

It is an arithmetic number, because the mean of its divisors is an integer number (49894065).

Almost surely, 2^2903128704 is an apocalyptic number.

2903128704 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 2903128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789830240).

2903128704 is an abundant number, since it is smaller than the sum of its proper divisors (6676531776).

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

2903128704 is a wasteful number, since it uses less digits than its factorization.

2903128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2903128704 is about 53880.6895278819. The cubic root of 2903128704 is about 1426.5557981022. Note that the first 3 decimals are identical.

The spelling of 2903128704 in words is "two billion, nine hundred three million, one hundred twenty-eight thousand, seven hundred four".