2951811940 has 288 divisors, whose sum is σ = 8299404288. Its totient is φ = 878169600.

The previous prime is 2951811931. The next prime is 2951811977. The reversal of 2951811940 is 491181592.

It is a junction number, because it is equal to n+sod(n) for n = 2951811893 and 2951811902.

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, 40435744 + ... + 40435816.

It is an arithmetic number, because the mean of its divisors is an integer number (28817376).

Almost surely, 2^2951811940 is an apocalyptic number.

2951811940 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 2951811940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149702144).

2951811940 is an abundant number, since it is smaller than the sum of its proper divisors (5347592348).

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

2951811940 is a wasteful number, since it uses less digits than its factorization.

2951811940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 2951811940 is about 54330.5801551944. The cubic root of 2951811940 is about 1434.4857169597.

The spelling of 2951811940 in words is "two billion, nine hundred fifty-one million, eight hundred eleven thousand, nine hundred forty".