2952779760 has 240 divisors, whose sum is σ = 11699251200. Its totient is φ = 653114880.

The previous prime is 2952779749. The next prime is 2952779821. The reversal of 2952779760 is 679772592.

2952779760 is a `hidden beast` number, since 29 + 527 + 7 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2952779760² = 17437816622131315200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2952779697 and 2952779706.

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, 146791 + ... + 165689.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^2952779760 is an apocalyptic number.

2952779760 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 2952779760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

2952779760 is an abundant number, since it is smaller than the sum of its proper divisors (8746471440).

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

2952779760 is a wasteful number, since it uses less digits than its factorization.

2952779760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18956 (or 18947 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 2952779760 is about 54339.4861955834. The cubic root of 2952779760 is about 1434.6424762984.

The spelling of 2952779760 in words is "two billion, nine hundred fifty-two million, seven hundred seventy-nine thousand, seven hundred sixty".