2578969440 has 72 divisors (see below), whose sum is σ = 8800738128. Its totient is φ = 687724800.

The previous prime is 2578969439. The next prime is 2578969483. The reversal of 2578969440 is 449698752.

2578969440 is a `hidden beast` number, since 2 + 578 + 9 + 69 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894036 + ... + 896915.

It is an arithmetic number, because the mean of its divisors is an integer number (122232474).

Almost surely, 2^2578969440 is an apocalyptic number.

2578969440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2578969440 is an abundant number, since it is smaller than the sum of its proper divisors (6221768688).

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

2578969440 is a wasteful number, since it uses less digits than its factorization.

2578969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790972 (or 1790961 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2578969440 is about 50783.5548184646. The cubic root of 2578969440 is about 1371.3513297270.

The spelling of 2578969440 in words is "two billion, five hundred seventy-eight million, nine hundred sixty-nine thousand, four hundred forty".