2493251124480 has 360 divisors, whose sum is σ = 9013317073992. Its totient is φ = 658010013696.

The previous prime is 2493251124431. The next prime is 2493251124521. The reversal of 2493251124480 is 844211523942.

2493251124480 is a `hidden beast` number, since 2 + 4 + 9 + 32 + 511 + 24 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1500477696 + 2491750646784 = 38736^2 + 1578528^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9933004 + ... + 10180916.

Almost surely, 2^{2493251124480} is an apocalyptic number.

2493251124480 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 2493251124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506658536996).

2493251124480 is an abundant number, since it is smaller than the sum of its proper divisors (6520065949512).

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

2493251124480 is an equidigital number, since it uses as much as digits as its factorization.

2493251124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248043 (or 248020 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2493251124480 in words is "two trillion, four hundred ninety-three billion, two hundred fifty-one million, one hundred twenty-four thousand, four hundred eighty".