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2425775040 = 263451323313
BaseRepresentation
bin1001000010010110…
…0110001111000000
320021001112010210000
42100211212033000
514431444300130
61040412440000
7114053514303
oct22045461700
96231463700
102425775040
111035317767
12578479000
132c8741860
1419024cb3a
15e2e68260
hex909663c0

2425775040 has 560 divisors, whose sum is σ = 9727679808. Its totient is φ = 569327616.

The previous prime is 2425775021. The next prime is 2425775047. The reversal of 2425775040 is 405775242.

It is a happy number.

2425775040 is a `hidden beast` number, since 2 + 42 + 577 + 5 + 0 + 40 = 666.

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 = 2425774986 and 2425775004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425775047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7749924 + ... + 7750236.

Almost surely, 22425775040 is an apocalyptic number.

2425775040 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 2425775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863839904).

2425775040 is an abundant number, since it is smaller than the sum of its proper divisors (7301904768).

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

2425775040 is a wasteful number, since it uses less digits than its factorization.

2425775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2425775040 is about 49252.1577192309. The cubic root of 2425775040 is about 1343.6418050547.

The spelling of 2425775040 in words is "two billion, four hundred twenty-five million, seven hundred seventy-five thousand, forty".