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2672769060 = 223251343101263
BaseRepresentation
bin1001111101001111…
…0011100000100100
320220021021201212200
42133103303200210
520433212102220
61121114414500
7123143106423
oct23723634044
96807251780
102672769060
111151787a55
12627131430
13337970c70
141b4d852ba
151099a6890
hex9f4f3824

2672769060 has 288 divisors, whose sum is σ = 9056855808. Its totient is φ = 633830400.

The previous prime is 2672769059. The next prime is 2672769091. The reversal of 2672769060 is 609672762.

2672769060 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 2672768997 and 2672769015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10162489 + ... + 10162751.

It is an arithmetic number, because the mean of its divisors is an integer number (31447416).

Almost surely, 22672769060 is an apocalyptic number.

2672769060 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 2672769060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528427904).

2672769060 is an abundant number, since it is smaller than the sum of its proper divisors (6384086748).

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

2672769060 is a wasteful number, since it uses less digits than its factorization.

2672769060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2672769060 is about 51698.8303542740. The cubic root of 2672769060 is about 1387.7795336481.

The spelling of 2672769060 in words is "two billion, six hundred seventy-two million, seven hundred sixty-nine thousand, sixty".