2485576128 has 224 divisors, whose sum is σ = 7885785600. Its totient is φ = 676085760.

The previous prime is 2485576127. The next prime is 2485576141. The reversal of 2485576128 is 8216755842.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485576127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368948 + ... + 2369996.

It is an arithmetic number, because the mean of its divisors is an integer number (35204400).

Almost surely, 2^2485576128 is an apocalyptic number.

2485576128 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 2485576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942892800).

2485576128 is an abundant number, since it is smaller than the sum of its proper divisors (5400209472).

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

2485576128 is a wasteful number, since it uses less digits than its factorization.

2485576128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 2485576128 is about 49855.5526295718. The cubic root of 2485576128 is about 1354.5936115114.

The spelling of 2485576128 in words is "two billion, four hundred eighty-five million, five hundred seventy-six thousand, one hundred twenty-eight".