2948579040 has 192 divisors, whose sum is σ = 10160059392. Its totient is φ = 712857600.

The previous prime is 2948579033. The next prime is 2948579041. The reversal of 2948579040 is 409758492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948579041) 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, 3236185 + ... + 3237095.

It is an arithmetic number, because the mean of its divisors is an integer number (52916976).

Almost surely, 2^2948579040 is an apocalyptic number.

2948579040 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 2948579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080029696).

2948579040 is an abundant number, since it is smaller than the sum of its proper divisors (7211480352).

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

2948579040 is a wasteful number, since it uses less digits than its factorization.

2948579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2948579040 is about 54300.8198833130. The cubic root of 2948579040 is about 1433.9618304957.

The spelling of 2948579040 in words is "two billion, nine hundred forty-eight million, five hundred seventy-nine thousand, forty".