2748435840 has 256 divisors, whose sum is σ = 9921009600. Its totient is φ = 718848000.

The previous prime is 2748435817. The next prime is 2748435841. The reversal of 2748435840 is 485348472.

It is a happy number.

2748435840 is a `hidden beast` number, since 27 + 4 + 8 + 43 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748435841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914340 + ... + 917340.

Almost surely, 2^2748435840 is an apocalyptic number.

2748435840 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 2748435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960504800).

2748435840 is an abundant number, since it is smaller than the sum of its proper divisors (7172573760).

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

2748435840 is a wasteful number, since it uses less digits than its factorization.

2748435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 2748435840 is about 52425.5266067972. The cubic root of 2748435840 is about 1400.7539884145.

The spelling of 2748435840 in words is "two billion, seven hundred forty-eight million, four hundred thirty-five thousand, eight hundred forty".