2425761408 has 256 divisors, whose sum is σ = 7789731840. Its totient is φ = 654151680.

The previous prime is 2425761397. The next prime is 2425761409. The reversal of 2425761408 is 8041675242.

It is not an unprimeable number, because it can be changed into a prime (2425761409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582766 + ... + 3583442.

It is an arithmetic number, because the mean of its divisors is an integer number (30428640).

Almost surely, 2^2425761408 is an apocalyptic number.

2425761408 is a gapful number since it is divisible by the number (28) 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 2425761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894865920).

2425761408 is an abundant number, since it is smaller than the sum of its proper divisors (5363970432).

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

2425761408 is a wasteful number, since it uses less digits than its factorization.

2425761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2425761408 is about 49252.0193291605. The cubic root of 2425761408 is about 1343.6392881190.

The spelling of 2425761408 in words is "two billion, four hundred twenty-five million, seven hundred sixty-one thousand, four hundred eight".