2956799766240 has 288 divisors, whose sum is σ = 10193460076800. Its totient is φ = 780416778240.

The previous prime is 2956799766203. The next prime is 2956799766287. The reversal of 2956799766240 is 426679976592.

2956799766240 is a `hidden beast` number, since 295 + 6 + 7 + 9 + 97 + 6 + 6 + 240 = 666.

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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155537856 + ... + 155556864.

It is an arithmetic number, because the mean of its divisors is an integer number (35393958600).

Almost surely, 2^{2956799766240} is an apocalyptic number.

2956799766240 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 2956799766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096730038400).

2956799766240 is an abundant number, since it is smaller than the sum of its proper divisors (7236660310560).

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

2956799766240 is a wasteful number, since it uses less digits than its factorization.

2956799766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20130 (or 20119 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 2956799766240 in words is "two trillion, nine hundred fifty-six billion, seven hundred ninety-nine million, seven hundred sixty-six thousand, two hundred forty".