2526125140 has 192 divisors, whose sum is σ = 6785856000. Its totient is φ = 767232000.

The previous prime is 2526125137. The next prime is 2526125143. The reversal of 2526125140 is 415216252.

It is an interprime number because it is at equal distance from previous prime (2526125137) and next prime (2526125143).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2526125099 and 2526125108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2526125143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16953786 + ... + 16953934.

It is an arithmetic number, because the mean of its divisors is an integer number (35343000).

Almost surely, 2^2526125140 is an apocalyptic number.

2526125140 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 2526125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392928000).

2526125140 is an abundant number, since it is smaller than the sum of its proper divisors (4259730860).

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

2526125140 is a wasteful number, since it uses less digits than its factorization.

2526125140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2526125140 is about 50260.5724201386. The cubic root of 2526125140 is about 1361.9200712394.

It can be divided in two parts, 252612 and 5140, that added together give a palindrome (257752).

The spelling of 2526125140 in words is "two billion, five hundred twenty-six million, one hundred twenty-five thousand, one hundred forty".