2618609952 has 192 divisors, whose sum is σ = 8063483904. Its totient is φ = 728663040.

The previous prime is 2618609951. The next prime is 2618609957. The reversal of 2618609952 is 2599068162.

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

It is not an unprimeable number, because it can be changed into a prime (2618609951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5205733 + ... + 5206235.

It is an arithmetic number, because the mean of its divisors is an integer number (41997312).

Almost surely, 2^2618609952 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 2618609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031741952).

2618609952 is an abundant number, since it is smaller than the sum of its proper divisors (5444873952).

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

2618609952 is a wasteful number, since it uses less digits than its factorization.

2618609952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 2618609952 is about 51172.3553493485. The cubic root of 2618609952 is about 1378.3418353265.

The spelling of 2618609952 in words is "two billion, six hundred eighteen million, six hundred nine thousand, nine hundred fifty-two".