2956849920 has 540 divisors, whose sum is σ = 11307653280. Its totient is φ = 737538048.

The previous prime is 2956849817. The next prime is 2956849921. The reversal of 2956849920 is 299486592.

It is a happy number.

2956849920 is a `hidden beast` number, since 2 + 95 + 68 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×2956849920² = 17485922898808012800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956849921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37428441 + ... + 37428519.

Almost surely, 2^2956849920 is an apocalyptic number.

2956849920 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 2956849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653826640).

2956849920 is an abundant number, since it is smaller than the sum of its proper divisors (8350803360).

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

2956849920 is an equidigital number, since it uses as much as digits as its factorization.

2956849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 2956849920 is about 54376.9245176665. The cubic root of 2956849920 is about 1435.3013518877.

The spelling of 2956849920 in words is "two billion, nine hundred fifty-six million, eight hundred forty-nine thousand, nine hundred twenty".