2573429040 has 720 divisors, whose sum is σ = 11237780736. Its totient is φ = 522547200.

The previous prime is 2573429017. The next prime is 2573429059. The reversal of 2573429040 is 409243752.

2573429040 is a `hidden beast` number, since 2 + 573 + 42 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 2573428986 and 2573429004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14217750 + ... + 14217930.

Almost surely, 2^2573429040 is an apocalyptic number.

2573429040 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 2573429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618890368).

2573429040 is an abundant number, since it is smaller than the sum of its proper divisors (8664351696).

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

2573429040 is a wasteful number, since it uses less digits than its factorization.

2573429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2573429040 is about 50728.9763350297. The cubic root of 2573429040 is about 1370.3686009800.

The spelling of 2573429040 in words is "two billion, five hundred seventy-three million, four hundred twenty-nine thousand, forty".