2949052320 has 576 divisors, whose sum is σ = 11429268480. Its totient is φ = 709171200.

The previous prime is 2949052319. The next prime is 2949052331. The reversal of 2949052320 is 232509492.

2949052320 is a `hidden beast` number, since 29 + 4 + 90 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48345090 + ... + 48345150.

It is an arithmetic number, because the mean of its divisors is an integer number (19842480).

Almost surely, 2^2949052320 is an apocalyptic number.

2949052320 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 2949052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714634240).

2949052320 is an abundant number, since it is smaller than the sum of its proper divisors (8480216160).

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

2949052320 is a wasteful number, since it uses less digits than its factorization.

2949052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2949052320 is about 54305.1776537008. The cubic root of 2949052320 is about 1434.0385487090.

It can be divided in two parts, 29490 and 52320, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 2949052320 in words is "two billion, nine hundred forty-nine million, fifty-two thousand, three hundred twenty".