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2490625800 = 23335213172087
BaseRepresentation
bin1001010001110011…
…1110111100001000
320102120112220022000
42110130332330020
520100100011200
61051050431000
7115501653465
oct22434767410
96376486260
102490625800
111068991033
12596132460
13308cc96a0
14198ad066c
15e89c8300
hex9473ef08

2490625800 has 384 divisors, whose sum is σ = 9786873600. Its totient is φ = 576737280.

The previous prime is 2490625789. The next prime is 2490625801. The reversal of 2490625800 is 85260942.

It is a happy number.

2490625800 is a `hidden beast` number, since 24 + 9 + 0 + 625 + 8 + 0 + 0 = 666.

2490625800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2490625801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1192357 + ... + 1194443.

It is an arithmetic number, because the mean of its divisors is an integer number (25486650).

Almost surely, 22490625800 is an apocalyptic number.

2490625800 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 2490625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893436800).

2490625800 is an abundant number, since it is smaller than the sum of its proper divisors (7296247800).

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

2490625800 is a wasteful number, since it uses less digits than its factorization.

2490625800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2490625800 is about 49906.1699592345. The cubic root of 2490625800 is about 1355.5103173512.

The spelling of 2490625800 in words is "two billion, four hundred ninety million, six hundred twenty-five thousand, eight hundred".