2616742128 has 240 divisors, whose sum is σ = 9146859008. Its totient is φ = 627264000.

The previous prime is 2616742127. The next prime is 2616742169. The reversal of 2616742128 is 8212476162.

2616742128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2616742127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526053 + ... + 531003.

Almost surely, 2^2616742128 is an apocalyptic number.

2616742128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616742128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573429504).

2616742128 is an abundant number, since it is smaller than the sum of its proper divisors (6530116880).

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

2616742128 is a wasteful number, since it uses less digits than its factorization.

2616742128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4987 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 2616742128 is about 51154.1017710213. The cubic root of 2616742128 is about 1378.0140389803.

The spelling of 2616742128 in words is "two billion, six hundred sixteen million, seven hundred forty-two thousand, one hundred twenty-eight".