24961531740 has 96 divisors (see below), whose sum is σ = 71494907904. Its totient is φ = 6504238080.

The previous prime is 24961531729. The next prime is 24961531753. The reversal of 24961531740 is 4713516942.

It is a junction number, because it is equal to n+sod(n) for n = 24961531692 and 24961531701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1817700 + ... + 1831380.

It is an arithmetic number, because the mean of its divisors is an integer number (744738624).

Almost surely, 2^24961531740 is an apocalyptic number.

24961531740 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 24961531740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747453952).

24961531740 is an abundant number, since it is smaller than the sum of its proper divisors (46533376164).

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

24961531740 is a wasteful number, since it uses less digits than its factorization.

24961531740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14387 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

It can be divided in two parts, 249615 and 31740, that multiplied together give a square (7922780100 = 89010²).

The spelling of 24961531740 in words is "twenty-four billion, nine hundred sixty-one million, five hundred thirty-one thousand, seven hundred forty".