2578429440 has 480 divisors, whose sum is σ = 9824237280. Its totient is φ = 622067712.

The previous prime is 2578429439. The next prime is 2578429481. The reversal of 2578429440 is 449248752.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11358607 + ... + 11358833.

It is an arithmetic number, because the mean of its divisors is an integer number (20467161).

Almost surely, 2^2578429440 is an apocalyptic number.

2578429440 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 2578429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912118640).

2578429440 is an abundant number, since it is smaller than the sum of its proper divisors (7245807840).

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

2578429440 is a wasteful number, since it uses less digits than its factorization.

2578429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2578429440 is about 50778.2378583582. The cubic root of 2578429440 is about 1371.2556091396.

The spelling of 2578429440 in words is "two billion, five hundred seventy-eight million, four hundred twenty-nine thousand, four hundred forty".