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2672590896 = 243310161253
BaseRepresentation
bin1001111101001100…
…1000000000110000
320220020221200111000
42133103020000300
520433140402041
61121110522000
7123141435123
oct23723100060
96806850430
102672590896
111151676108
12627066300
1333790ab41
141b4d3a3ba
1510996dbb6
hex9f4c8030

2672590896 has 80 divisors (see below), whose sum is σ = 7747405920. Its totient is φ = 882028800.

The previous prime is 2672590891. The next prime is 2672590913. The reversal of 2672590896 is 6980952762.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2672590891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13006 + ... + 74258.

It is an arithmetic number, because the mean of its divisors is an integer number (96842574).

Almost surely, 22672590896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672590896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873702960).

2672590896 is an abundant number, since it is smaller than the sum of its proper divisors (5074815024).

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

2672590896 is a wasteful number, since it uses less digits than its factorization.

2672590896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61371 (or 61359 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 2672590896 is about 51697.1072304824. The cubic root of 2672590896 is about 1387.7486969838.

The spelling of 2672590896 in words is "two billion, six hundred seventy-two million, five hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 7272 10908 14544 21816 43632 61253 122506 183759 245012 367518 490024 551277 735036 980048 1102554 1470072 1653831 2205108 2940144 3307662 4410216 6186553 6615324 8820432 12373106 13230648 18559659 24746212 26461296 37119318 49492424 55678977 74238636 98984848 111357954 148477272 167036931 222715908 296954544 334073862 445431816 668147724 890863632 1336295448 2672590896