2025635040 has 480 divisors, whose sum is σ = 8406278496. Its totient is φ = 452874240.

The previous prime is 2025634981. The next prime is 2025635057. The reversal of 2025635040 is 405365202.

2025635040 is a `hidden beast` number, since 2 + 0 + 25 + 635 + 0 + 4 + 0 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2025634995 and 2025635013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1852734 + ... + 1853826.

Almost surely, 2^2025635040 is an apocalyptic number.

2025635040 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 2025635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203139248).

2025635040 is an abundant number, since it is smaller than the sum of its proper divisors (6380643456).

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

2025635040 is a wasteful number, since it uses less digits than its factorization.

2025635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2025635040 is about 45007.0554468963. The cubic root of 2025635040 is about 1265.2812343724.

The spelling of 2025635040 in words is "two billion, twenty-five million, six hundred thirty-five thousand, forty".