2949791040 has 896 divisors, whose sum is σ = 13342924800. Its totient is φ = 597196800.

The previous prime is 2949790981. The next prime is 2949791041. The reversal of 2949791040 is 401979492.

It is a happy number.

2949791040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949791041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19534965 + ... + 19535115.

Almost surely, 2^2949791040 is an apocalyptic number.

2949791040 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 2949791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671462400).

2949791040 is an abundant number, since it is smaller than the sum of its proper divisors (10393133760).

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

2949791040 is a wasteful number, since it uses less digits than its factorization.

2949791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2949791040 is about 54311.9787892137. The cubic root of 2949791040 is about 1434.1582780774.

The spelling of 2949791040 in words is "two billion, nine hundred forty-nine million, seven hundred ninety-one thousand, forty".