2578237440 has 384 divisors, whose sum is σ = 8915961600. Its totient is φ = 634388480.

The previous prime is 2578237421. The next prime is 2578237457. The reversal of 2578237440 is 447328752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2578237392 and 2578237401.

It is a congruent number.

It is an unprimeable number.

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, 28968916 + ... + 28969004.

It is an arithmetic number, because the mean of its divisors is an integer number (23218650).

Almost surely, 2^2578237440 is an apocalyptic number.

2578237440 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 2578237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

2578237440 is an abundant number, since it is smaller than the sum of its proper divisors (6337724160).

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

2578237440 is a wasteful number, since it uses less digits than its factorization.

2578237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2578237440 is about 50776.3472494822. The cubic root of 2578237440 is about 1371.2215719323.

The spelling of 2578237440 in words is "two billion, five hundred seventy-eight million, two hundred thirty-seven thousand, four hundred forty".