2480185440 has 192 divisors, whose sum is σ = 8709120000. Its totient is φ = 659215872.

The previous prime is 2480185399. The next prime is 2480185451. The reversal of 2480185440 is 445810842.

2480185440 is a `hidden beast` number, since 24 + 80 + 18 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2480185395 and 2480185404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653811 + ... + 1655309.

It is an arithmetic number, because the mean of its divisors is an integer number (45360000).

Almost surely, 2^2480185440 is an apocalyptic number.

2480185440 is a gapful number since it is divisible by the number (20) 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 2480185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560000).

2480185440 is an abundant number, since it is smaller than the sum of its proper divisors (6228934560).

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

2480185440 is a wasteful number, since it uses less digits than its factorization.

2480185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2480185440 is about 49801.4602195558. The cubic root of 2480185440 is about 1353.6136271954.

It can be divided in two parts, 2480185 and 440, that added together give a square (2480625 = 1575²).

The spelling of 2480185440 in words is "two billion, four hundred eighty million, one hundred eighty-five thousand, four hundred forty".