2529297408 has 264 divisors, whose sum is σ = 7702287840. Its totient is φ = 731709440.

The previous prime is 2529297403. The next prime is 2529297413. The reversal of 2529297408 is 8047929252.

It is an interprime number because it is at equal distance from previous prime (2529297403) and next prime (2529297413).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2529297403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28419028 + ... + 28419116.

Almost surely, 2^2529297408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2529297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851143920).

2529297408 is an abundant number, since it is smaller than the sum of its proper divisors (5172990432).

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

2529297408 is a wasteful number, since it uses less digits than its factorization.

2529297408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2529297408 is about 50292.1207347632. The cubic root of 2529297408 is about 1362.4899253302.

The spelling of 2529297408 in words is "two billion, five hundred twenty-nine million, two hundred ninety-seven thousand, four hundred eight".