2480138164944 has 320 divisors, whose sum is σ = 8236615680000. Its totient is φ = 707093798400.

The previous prime is 2480138164943. The next prime is 2480138164957. The reversal of 2480138164944 is 4494618310842.

2480138164944 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 138 + 16 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480138164943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6481057 + ... + 6853055.

It is an arithmetic number, because the mean of its divisors is an integer number (25739424000).

Almost surely, 2^{2480138164944} is an apocalyptic number.

2480138164944 is a gapful number since it is divisible by the number (24) 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 2480138164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118307840000).

2480138164944 is an abundant number, since it is smaller than the sum of its proper divisors (5756477515056).

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

2480138164944 is a wasteful number, since it uses less digits than its factorization.

2480138164944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372111 (or 372099 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2480138164944 in words is "two trillion, four hundred eighty billion, one hundred thirty-eight million, one hundred sixty-four thousand, nine hundred forty-four".