2949585408 has 640 divisors, whose sum is σ = 11596400640. Its totient is φ = 716636160.

The previous prime is 2949585371. The next prime is 2949585437. The reversal of 2949585408 is 8045859492.

It is a happy number.

2949585408 is a `hidden beast` number, since 2 + 9 + 4 + 95 + 8 + 540 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18095535 + ... + 18095697.

It is an arithmetic number, because the mean of its divisors is an integer number (18119376).

Almost surely, 2^2949585408 is an apocalyptic number.

2949585408 is a gapful number since it is divisible by the number (28) 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 2949585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798200320).

2949585408 is an abundant number, since it is smaller than the sum of its proper divisors (8646815232).

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

2949585408 is a wasteful number, since it uses less digits than its factorization.

2949585408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 2949585408 is about 54310.0856931749. The cubic root of 2949585408 is about 1434.1249519102.

The spelling of 2949585408 in words is "two billion, nine hundred forty-nine million, five hundred eighty-five thousand, four hundred eight".