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2530056672 = 25321113232671
BaseRepresentation
bin1001011011001101…
…1001100111100000
320112022202012021200
42112303121213200
520140143303142
61055015521200
7116461061343
oct22663314740
96468665250
102530056672
111089173030
125a7389200
13314224170
141a003645a
15ec1b664c
hex96cd99e0

2530056672 has 288 divisors, whose sum is σ = 8823499776. Its totient is φ = 676684800.

The previous prime is 2530056611. The next prime is 2530056673. The reversal of 2530056672 is 2766500352.

It is a happy number.

2530056672 is a `hidden beast` number, since 2 + 530 + 0 + 56 + 6 + 72 = 666.

2530056672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530056673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945897 + ... + 948567.

It is an arithmetic number, because the mean of its divisors is an integer number (30637152).

Almost surely, 22530056672 is an apocalyptic number.

2530056672 is a gapful number since it is divisible by the number (22) 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 2530056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411749888).

2530056672 is an abundant number, since it is smaller than the sum of its proper divisors (6293443104).

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

2530056672 is a wasteful number, since it uses less digits than its factorization.

2530056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2530056672 is about 50299.6687066625. The cubic root of 2530056672 is about 1362.6262459346.

The spelling of 2530056672 in words is "two billion, five hundred thirty million, fifty-six thousand, six hundred seventy-two".