2705751048 has 384 divisors, whose sum is σ = 9448104960. Its totient is φ = 623462400.

The previous prime is 2705751043. The next prime is 2705751053. The reversal of 2705751048 is 8401575072.

It is an interprime number because it is at equal distance from previous prime (2705751043) and next prime (2705751053).

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

It is a junction number, because it is equal to n+sod(n) for n = 2705750997 and 2705751015.

It is not an unprimeable number, because it can be changed into a prime (2705751043) 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, 40384311 + ... + 40384377.

It is an arithmetic number, because the mean of its divisors is an integer number (24604440).

Almost surely, 2^2705751048 is an apocalyptic number.

2705751048 is a gapful number since it is divisible by the number (28) 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 2705751048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724052480).

2705751048 is an abundant number, since it is smaller than the sum of its proper divisors (6742353912).

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

2705751048 is a wasteful number, since it uses less digits than its factorization.

2705751048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 2705751048 is about 52016.8342750691. The cubic root of 2705751048 is about 1393.4646156274.

The spelling of 2705751048 in words is "two billion, seven hundred five million, seven hundred fifty-one thousand, forty-eight".