2905397760 has 160 divisors (see below), whose sum is σ = 9515765952. Its totient is φ = 755793920.

The previous prime is 2905397707. The next prime is 2905397777. The reversal of 2905397760 is 677935092.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2905397760² = 16882672287626035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310267 + ... + 319493.

Almost surely, 2^2905397760 is an apocalyptic number.

2905397760 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 2905397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757882976).

2905397760 is an abundant number, since it is smaller than the sum of its proper divisors (6610368192).

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

2905397760 is an equidigital number, since it uses as much as digits as its factorization.

2905397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9294 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The square root of 2905397760 is about 53901.7417158296. The cubic root of 2905397760 is about 1426.9273618380.

The spelling of 2905397760 in words is "two billion, nine hundred five million, three hundred ninety-seven thousand, seven hundred sixty".