2573653140 has 144 divisors (see below), whose sum is σ = 8114979600. Its totient is φ = 659441664.

The previous prime is 2573653123. The next prime is 2573653253. The reversal of 2573653140 is 413563752.

2573653140 is a `hidden beast` number, since 2 + 57 + 36 + 531 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7420176 + 2566232964 = 2724^2 + 50658^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2573653095 and 2573653104.

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, 1194304 + ... + 1196456.

It is an arithmetic number, because the mean of its divisors is an integer number (56354025).

Almost surely, 2^2573653140 is an apocalyptic number.

2573653140 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 2573653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4057489800).

2573653140 is an abundant number, since it is smaller than the sum of its proper divisors (5541326460).

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

2573653140 is a wasteful number, since it uses less digits than its factorization.

2573653140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2573653140 is about 50731.1850837333. The cubic root of 2573653140 is about 1370.4083780873.

The spelling of 2573653140 in words is "two billion, five hundred seventy-three million, six hundred fifty-three thousand, one hundred forty".