2490706568448 has 720 divisors, whose sum is σ = 8955107392000. Its totient is φ = 672625741824.

The previous prime is 2490706568443. The next prime is 2490706568477. The reversal of 2490706568448 is 8448656070942.

2490706568448 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 70 + 65 + 68 + 448 = 666.

It is a super-2 number, since 2×2490706568448² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490706568443) 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 79 ways as a sum of consecutive naturals, for example, 1707131943 + ... + 1707133401.

Almost surely, 2^{2490706568448} is an apocalyptic number.

2490706568448 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 2490706568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477553696000).

2490706568448 is an abundant number, since it is smaller than the sum of its proper divisors (6464400823552).

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

2490706568448 is a wasteful number, since it uses less digits than its factorization.

2490706568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2490706568448 in words is "two trillion, four hundred ninety billion, seven hundred six million, five hundred sixty-eight thousand, four hundred forty-eight".