2578402008 has 192 divisors, whose sum is σ = 8685418560. Its totient is φ = 672841728.

The previous prime is 2578402007. The next prime is 2578402037. The reversal of 2578402008 is 8002048752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578402003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633516 + ... + 637572.

It is an arithmetic number, because the mean of its divisors is an integer number (45236555).

Almost surely, 2^2578402008 is an apocalyptic number.

2578402008 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 2578402008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342709280).

2578402008 is an abundant number, since it is smaller than the sum of its proper divisors (6107016552).

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

2578402008 is a wasteful number, since it uses less digits than its factorization.

2578402008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2578402008 is about 50777.9677419252. The cubic root of 2578402008 is about 1371.2507461771.

The spelling of 2578402008 in words is "two billion, five hundred seventy-eight million, four hundred two thousand, eight".