24980219380480 has 864 divisors, whose sum is σ = 80327946815424. Its totient is φ = 7350792486912.

The previous prime is 24980219380453. The next prime is 24980219380489. The reversal of 24980219380480 is 8408391208942.

It is a happy number.

It is a super-2 number, since 2×24980219380480² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24980219380489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1150462104 + ... + 1150483816.

It is an arithmetic number, because the mean of its divisors is an integer number (92972160666).

Almost surely, 2^{24980219380480} is an apocalyptic number.

24980219380480 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 24980219380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40163973407712).

24980219380480 is an abundant number, since it is smaller than the sum of its proper divisors (55347727434944).

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

24980219380480 is a wasteful number, since it uses less digits than its factorization.

24980219380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21861 (or 21840 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 24980219380480 in words is "twenty-four trillion, nine hundred eighty billion, two hundred nineteen million, three hundred eighty thousand, four hundred eighty".