2480144832 has 560 divisors, whose sum is σ = 8780580864. Its totient is φ = 684288000.

The previous prime is 2480144831. The next prime is 2480144837. The reversal of 2480144832 is 2384410842.

2480144832 is a `hidden beast` number, since 2 + 480 + 144 + 8 + 32 = 666.

It is a super-2 number, since 2×2480144832² = 12302236775392616448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480144831) 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 79 ways as a sum of consecutive naturals, for example, 40658082 + ... + 40658142.

Almost surely, 2^2480144832 is an apocalyptic number.

2480144832 is a gapful number since it is divisible by the number (22) 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 2480144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390290432).

2480144832 is an abundant number, since it is smaller than the sum of its proper divisors (6300436032).

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

2480144832 is a wasteful number, since it uses less digits than its factorization.

2480144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2480144832 is about 49801.0525189980. The cubic root of 2480144832 is about 1353.6062395970.

The spelling of 2480144832 in words is "two billion, four hundred eighty million, one hundred forty-four thousand, eight hundred thirty-two".