2951207040 has 128 divisors (see below), whose sum is σ = 9731534400. Its totient is φ = 759836672.

The previous prime is 2951206969. The next prime is 2951207041. The reversal of 2951207040 is 407021592.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2951206989 and 2951207007.

It is not an unprimeable number, because it can be changed into a prime (2951207041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29179 + ... + 82181.

Almost surely, 2^2951207040 is an apocalyptic number.

2951207040 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 2951207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865767200).

2951207040 is an abundant number, since it is smaller than the sum of its proper divisors (6780327360).

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

2951207040 is a wasteful number, since it uses less digits than its factorization.

2951207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53054 (or 53042 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2951207040 is about 54325.0130234683. The cubic root of 2951207040 is about 1434.3877229471.

The spelling of 2951207040 in words is "two billion, nine hundred fifty-one million, two hundred seven thousand, forty".