24953140 has 48 divisors (see below), whose sum is σ = 54641664. Its totient is φ = 9561600.

The previous prime is 24953119. The next prime is 24953143. The reversal of 24953140 is 4135942.

It is a junction number, because it is equal to n+sod(n) for n = 24953099 and 24953108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24953143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103420 + ... + 103660.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 2^24953140 is an apocalyptic number.

24953140 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 24953140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320832).

24953140 is an abundant number, since it is smaller than the sum of its proper divisors (29688524).

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

24953140 is a wasteful number, since it uses less digits than its factorization.

24953140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 24953140 is about 4995.3118020800. The cubic root of 24953140 is about 292.2189669276.

It can be divided in two parts, 249531 and 40, that added together give a triangular number (249571 = T₇₀₆).

The spelling of 24953140 in words is "twenty-four million, nine hundred fifty-three thousand, one hundred forty".