2752419648 has 224 divisors, whose sum is σ = 8450519040. Its totient is φ = 781885440.

The previous prime is 2752419617. The next prime is 2752419701. The reversal of 2752419648 is 8469142572.

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

It is a junction number, because it is equal to n+sod(n) for n = 2752419597 and 2752419606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4534161 + ... + 4534767.

Almost surely, 2^2752419648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225259520).

2752419648 is an abundant number, since it is smaller than the sum of its proper divisors (5698099392).

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

2752419648 is a wasteful number, since it uses less digits than its factorization.

2752419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 755 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2752419648 is about 52463.5077744521. The cubic root of 2752419648 is about 1401.4304508633.

The spelling of 2752419648 in words is "two billion, seven hundred fifty-two million, four hundred nineteen thousand, six hundred forty-eight".