2453119159680 has 2304 divisors, whose sum is σ = 11166787008000. Its totient is φ = 491612405760.

The previous prime is 2453119159657. The next prime is 2453119159681. The reversal of 2453119159680 is 869519113542.

2453119159680 is a `hidden beast` number, since 2 + 4 + 5 + 31 + 19 + 1 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×2453119159680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453119159681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6472609731 + ... + 6472610109.

It is an arithmetic number, because the mean of its divisors is an integer number (4846695750).

Almost surely, 2^{2453119159680} is an apocalyptic number.

2453119159680 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 2453119159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583393504000).

2453119159680 is an abundant number, since it is smaller than the sum of its proper divisors (8713667848320).

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

2453119159680 is a wasteful number, since it uses less digits than its factorization.

2453119159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 2453119159680 in words is "two trillion, four hundred fifty-three billion, one hundred nineteen million, one hundred fifty-nine thousand, six hundred eighty".