2949219840 has 480 divisors, whose sum is σ = 11637942624. Its totient is φ = 633077760.

The previous prime is 2949219829. The next prime is 2949219853. The reversal of 2949219840 is 489129492.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2949219840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6397210 + ... + 6397670.

Almost surely, 2^2949219840 is an apocalyptic number.

2949219840 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 2949219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818971312).

2949219840 is an abundant number, since it is smaller than the sum of its proper divisors (8688722784).

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

2949219840 is a wasteful number, since it uses less digits than its factorization.

2949219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 2949219840 is about 54306.7200261625. The cubic root of 2949219840 is about 1434.0657015662.

The spelling of 2949219840 in words is "two billion, nine hundred forty-nine million, two hundred nineteen thousand, eight hundred forty".