2763204642 has 72 divisors (see below), whose sum is σ = 6605416272. Its totient is φ = 834189840.

The previous prime is 2763204641. The next prime is 2763204671. The reversal of 2763204642 is 2464023672.

2763204642 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 2 + 0 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2763204597 and 2763204606.

It is not an unprimeable number, because it can be changed into a prime (2763204641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 614133 + ... + 618615.

Almost surely, 2^2763204642 is an apocalyptic number.

2763204642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2763204642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302708136).

2763204642 is an abundant number, since it is smaller than the sum of its proper divisors (3842211630).

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

2763204642 is a wasteful number, since it uses less digits than its factorization.

2763204642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2763204642 is about 52566.1929570708. The cubic root of 2763204642 is about 1403.2585055098.

The spelling of 2763204642 in words is "two billion, seven hundred sixty-three million, two hundred four thousand, six hundred forty-two".