2526723420 has 192 divisors, whose sum is σ = 8020131840. Its totient is φ = 589704192.

The previous prime is 2526723403. The next prime is 2526723427. The reversal of 2526723420 is 243276252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2526723427) 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, 2277826 + ... + 2278934.

It is an arithmetic number, because the mean of its divisors is an integer number (41771520).

Almost surely, 2^2526723420 is an apocalyptic number.

2526723420 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 2526723420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010065920).

2526723420 is an abundant number, since it is smaller than the sum of its proper divisors (5493408420).

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

2526723420 is a wasteful number, since it uses less digits than its factorization.

2526723420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2526723420 is about 50266.5238503718. The cubic root of 2526723420 is about 1362.0275804584.

Adding to 2526723420 its reverse (243276252), we get a palindrome (2769999672).

The spelling of 2526723420 in words is "two billion, five hundred twenty-six million, seven hundred twenty-three thousand, four hundred twenty".