2761050240 has 640 divisors, whose sum is σ = 11289967920. Its totient is φ = 637009920.

The previous prime is 2761050221. The next prime is 2761050277. The reversal of 2761050240 is 420501672.

2761050240 is a `hidden beast` number, since 2 + 7 + 610 + 5 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1417974336 + 1343075904 = 37656^2 + 36648^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456520 + ... + 11456760.

Almost surely, 2^2761050240 is an apocalyptic number.

2761050240 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 2761050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644983960).

2761050240 is an abundant number, since it is smaller than the sum of its proper divisors (8528917680).

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

2761050240 is a wasteful number, since it uses less digits than its factorization.

2761050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2761050240 is about 52545.6966839341. The cubic root of 2761050240 is about 1402.8937154244.

The spelling of 2761050240 in words is "two billion, seven hundred sixty-one million, fifty thousand, two hundred forty".