25340610240 has 1120 divisors, whose sum is σ = 105366970368. Its totient is φ = 5723136000.

The previous prime is 25340610223. The next prime is 25340610259. The reversal of 25340610240 is 4201604352.

25340610240 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 0 + 610 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 415419810 + ... + 415419870.

Almost surely, 2^25340610240 is an apocalyptic number.

25340610240 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 25340610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52683485184).

25340610240 is an abundant number, since it is smaller than the sum of its proper divisors (80026360128).

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

25340610240 is a wasteful number, since it uses less digits than its factorization.

25340610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 25340610240 in words is "twenty-five billion, three hundred forty million, six hundred ten thousand, two hundred forty".