2642496048 has 400 divisors, whose sum is σ = 8633661696. Its totient is φ = 776355840.

The previous prime is 2642496029. The next prime is 2642496049. The reversal of 2642496048 is 8406942462.

It is a junction number, because it is equal to n+sod(n) for n = 2642495994 and 2642496012.

It is not an unprimeable number, because it can be changed into a prime (2642496049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36198540 + ... + 36198612.

Almost surely, 2^2642496048 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 2642496048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316830848).

2642496048 is an abundant number, since it is smaller than the sum of its proper divisors (5991165648).

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

2642496048 is a wasteful number, since it uses less digits than its factorization.

2642496048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2642496048 is about 51405.2142102336. The cubic root of 2642496048 is about 1382.5200832462.

The spelling of 2642496048 in words is "two billion, six hundred forty-two million, four hundred ninety-six thousand, forty-eight".