2825072640 has 520 divisors, whose sum is σ = 10989438768. Its totient is φ = 690094080.

The previous prime is 2825072639. The next prime is 2825072641. The reversal of 2825072640 is 462705282.

2825072640 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 0 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2825072639) and next prime (2825072641).

It is a tau number, because it is divible by the number of its divisors (520).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2825072595 and 2825072604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825072641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565375 + ... + 21565505.

Almost surely, 2^2825072640 is an apocalyptic number.

2825072640 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 2825072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494719384).

2825072640 is an abundant number, since it is smaller than the sum of its proper divisors (8164366128).

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

2825072640 is a wasteful number, since it uses less digits than its factorization.

2825072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2825072640 is about 53151.4123989194. The cubic root of 2825072640 is about 1413.6542604150.

The spelling of 2825072640 in words is "two billion, eight hundred twenty-five million, seventy-two thousand, six hundred forty".