2949900480 has 672 divisors, whose sum is σ = 11563868160. Its totient is φ = 686776320.

The previous prime is 2949900479. The next prime is 2949900493. The reversal of 2949900480 is 840099492.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62763817 + ... + 62763863.

Almost surely, 2^2949900480 is an apocalyptic number.

2949900480 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 2949900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

2949900480 is an abundant number, since it is smaller than the sum of its proper divisors (8613967680).

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

2949900480 is a wasteful number, since it uses less digits than its factorization.

2949900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2949900480 is about 54312.9862924145. The cubic root of 2949900480 is about 1434.1760140615.

The spelling of 2949900480 in words is "two billion, nine hundred forty-nine million, nine hundred thousand, four hundred eighty".