Search a number
-
+
2680999776 = 253371324361
BaseRepresentation
bin1001111111001100…
…1100111101100000
320220211202220022000
42133303030331200
520442313443101
61122011044000
7123303056610
oct23763147540
96824686260
102680999776
1111563998a4
12629a40600
13339593400
141b60c8a40
1510a580486
hex9fcccf60

2680999776 has 576 divisors, whose sum is σ = 10064355840. Its totient is φ = 679311360.

The previous prime is 2680999721. The next prime is 2680999787. The reversal of 2680999776 is 6779990862.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 43950786 + ... + 43950846.

It is an arithmetic number, because the mean of its divisors is an integer number (17472840).

Almost surely, 22680999776 is an apocalyptic number.

2680999776 is a gapful number since it is divisible by the number (26) 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 2680999776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032177920).

2680999776 is an abundant number, since it is smaller than the sum of its proper divisors (7383356064).

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

2680999776 is a wasteful number, since it uses less digits than its factorization.

2680999776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 2680999776 is about 51778.3717009332. The cubic root of 2680999776 is about 1389.2026163474.

The spelling of 2680999776 in words is "two billion, six hundred eighty million, nine hundred ninety-nine thousand, seven hundred seventy-six".