2765437440 has 160 divisors (see below), whose sum is σ = 8987210496. Its totient is φ = 725237760.

The previous prime is 2765437427. The next prime is 2765437471. The reversal of 2765437440 is 447345672.

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

It is a junction number, because it is equal to n+sod(n) for n = 2765437392 and 2765437401.

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, 465529 + ... + 471431.

Almost surely, 2^2765437440 is an apocalyptic number.

2765437440 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 2765437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493605248).

2765437440 is an abundant number, since it is smaller than the sum of its proper divisors (6221773056).

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

2765437440 is an equidigital number, since it uses as much as digits as its factorization.

2765437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The square root of 2765437440 is about 52587.4266341299. The cubic root of 2765437440 is about 1403.6363698192.

The spelling of 2765437440 in words is "two billion, seven hundred sixty-five million, four hundred thirty-seven thousand, four hundred forty".