2901745080 has 512 divisors, whose sum is σ = 11031552000. Its totient is φ = 673505280.

The previous prime is 2901745057. The next prime is 2901745087. The reversal of 2901745080 is 805471092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901745087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25679104 + ... + 25679216.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2^2901745080 is an apocalyptic number.

2901745080 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 2901745080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776000).

2901745080 is an abundant number, since it is smaller than the sum of its proper divisors (8129806920).

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

2901745080 is a wasteful number, since it uses less digits than its factorization.

2901745080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2901745080 is about 53867.8482956206. The cubic root of 2901745080 is about 1426.3291310938.

The spelling of 2901745080 in words is "two billion, nine hundred one million, seven hundred forty-five thousand, eighty".