24779142000 has 640 divisors, whose sum is σ = 94262538240. Its totient is φ = 6209280000.

The previous prime is 24779141987. The next prime is 24779142007. The reversal of 24779142000 is 24197742.

It is a super-2 number, since 2×24779142000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24779142007) 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 127 ways as a sum of consecutive naturals, for example, 88181860 + ... + 88182140.

It is an arithmetic number, because the mean of its divisors is an integer number (147285216).

Almost surely, 2^24779142000 is an apocalyptic number.

24779142000 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 24779142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47131269120).

24779142000 is an abundant number, since it is smaller than the sum of its proper divisors (69483396240).

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

24779142000 is a wasteful number, since it uses less digits than its factorization.

24779142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 24779142000 in words is "twenty-four billion, seven hundred seventy-nine million, one hundred forty-two thousand".