2948953824 has 192 divisors, whose sum is σ = 9587289600. Its totient is φ = 876386304.

The previous prime is 2948953801. The next prime is 2948953829. The reversal of 2948953824 is 4283598492.

2948953824 is a `hidden beast` number, since 2 + 9 + 4 + 89 + 538 + 24 = 666.

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 (2948953829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273789 + ... + 284355.

It is an arithmetic number, because the mean of its divisors is an integer number (49933800).

Almost surely, 2^2948953824 is an apocalyptic number.

2948953824 is a gapful number since it is divisible by the number (24) 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 2948953824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793644800).

2948953824 is an abundant number, since it is smaller than the sum of its proper divisors (6638335776).

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

2948953824 is a wasteful number, since it uses less digits than its factorization.

2948953824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10608 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 2948953824 is about 54304.2707712754. The cubic root of 2948953824 is about 1434.0225832826.

The spelling of 2948953824 in words is "two billion, nine hundred forty-eight million, nine hundred fifty-three thousand, eight hundred twenty-four".