2578698240 has 312 divisors, whose sum is σ = 8873801760. Its totient is φ = 637599744.

The previous prime is 2578698223. The next prime is 2578698247. The reversal of 2578698240 is 428968752.

It is a super-2 number, since 2×2578698240² = 13299369225958195200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578698247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54865897 + ... + 54865943.

Almost surely, 2^2578698240 is an apocalyptic number.

2578698240 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 2578698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436900880).

2578698240 is an abundant number, since it is smaller than the sum of its proper divisors (6295103520).

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

2578698240 is an equidigital number, since it uses as much as digits as its factorization.

2578698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2578698240 is about 50780.8845925315. The cubic root of 2578698240 is about 1371.3032583913.

The spelling of 2578698240 in words is "two billion, five hundred seventy-eight million, six hundred ninety-eight thousand, two hundred forty".