2525414640 has 320 divisors, whose sum is σ = 9579863040. Its totient is φ = 537477120.

The previous prime is 2525414629. The next prime is 2525414641. The reversal of 2525414640 is 464145252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525414641) 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, 1946472 + ... + 1947768.

It is an arithmetic number, because the mean of its divisors is an integer number (29937072).

Almost surely, 2^2525414640 is an apocalyptic number.

2525414640 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 2525414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789931520).

2525414640 is an abundant number, since it is smaller than the sum of its proper divisors (7054448400).

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

2525414640 is a wasteful number, since it uses less digits than its factorization.

2525414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2525414640 is about 50253.5037584445. The cubic root of 2525414640 is about 1361.7923743530.

Adding to 2525414640 its reverse (464145252), we get a palindrome (2989559892).

The spelling of 2525414640 in words is "two billion, five hundred twenty-five million, four hundred fourteen thousand, six hundred forty".