2901007440 has 80 divisors (see below), whose sum is σ = 9992366400. Its totient is φ = 773601408.

The previous prime is 2901007397. The next prime is 2901007453. The reversal of 2901007440 is 447001092.

It is a happy number.

2901007440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669370 + ... + 673689.

It is an arithmetic number, because the mean of its divisors is an integer number (124904580).

Almost surely, 2^2901007440 is an apocalyptic number.

2901007440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2901007440 is an abundant number, since it is smaller than the sum of its proper divisors (7091358960).

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

2901007440 is a wasteful number, since it uses less digits than its factorization.

2901007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343081 (or 1343069 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2901007440 is about 53861.0011046954. The cubic root of 2901007440 is about 1426.2082605423.

The spelling of 2901007440 in words is "two billion, nine hundred one million, seven thousand, four hundred forty".