2618101632 has 128 divisors (see below), whose sum is σ = 7132419360. Its totient is φ = 850583552.

The previous prime is 2618101631. The next prime is 2618101657. The reversal of 2618101632 is 2361018162.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2618101632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2618101631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009018 + ... + 4009670.

Almost surely, 2^2618101632 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 2618101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566209680).

2618101632 is an abundant number, since it is smaller than the sum of its proper divisors (4514317728).

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

2618101632 is a wasteful number, since it uses less digits than its factorization.

2618101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2618101632 is about 51167.3883640742. The cubic root of 2618101632 is about 1378.2526424500.

Adding to 2618101632 its reverse (2361018162), we get a palindrome (4979119794).

The spelling of 2618101632 in words is "two billion, six hundred eighteen million, one hundred one thousand, six hundred thirty-two".