2706440880 has 480 divisors, whose sum is σ = 10173848832. Its totient is φ = 591022080.

The previous prime is 2706440879. The next prime is 2706440881. The reversal of 2706440880 is 880446072.

It is an interprime number because it is at equal distance from previous prime (2706440879) and next prime (2706440881).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2706440881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25293787 + ... + 25293893.

Almost surely, 2^2706440880 is an apocalyptic number.

2706440880 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 2706440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086924416).

2706440880 is an abundant number, since it is smaller than the sum of its proper divisors (7467407952).

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

2706440880 is a wasteful number, since it uses less digits than its factorization.

2706440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2706440880 is about 52023.4647058421. The cubic root of 2706440880 is about 1393.5830269651.

The spelling of 2706440880 in words is "two billion, seven hundred six million, four hundred forty thousand, eight hundred eighty".