2428151136 has 96 divisors (see below), whose sum is σ = 6691507200. Its totient is φ = 769943040.

The previous prime is 2428151093. The next prime is 2428151153. The reversal of 2428151136 is 6311518242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2428151097 and 2428151106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168670 + ... + 182498.

It is an arithmetic number, because the mean of its divisors is an integer number (69703200).

Almost surely, 2^2428151136 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 2428151136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345753600).

2428151136 is an abundant number, since it is smaller than the sum of its proper divisors (4263356064).

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

2428151136 is a wasteful number, since it uses less digits than its factorization.

2428151136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932 (or 13924 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2428151136 is about 49276.2735604063. The cubic root of 2428151136 is about 1344.0803700521.

Adding to 2428151136 its reverse (6311518242), we get a palindrome (8739669378).

It can be divided in two parts, 242815 and 1136, that added together give a triangular number (243951 = T₆₉₈).

The spelling of 2428151136 in words is "two billion, four hundred twenty-eight million, one hundred fifty-one thousand, one hundred thirty-six".