2951949803040 has 288 divisors, whose sum is σ = 11542995434880. Its totient is φ = 672950218752.

The previous prime is 2951949803039. The next prime is 2951949803063. The reversal of 2951949803040 is 403089491592.

2951949803040 is a `hidden beast` number, since 2 + 9 + 519 + 4 + 9 + 80 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×2951949803040⁵ (a number of 64 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3433972 + ... + 4206668.

It is an arithmetic number, because the mean of its divisors is an integer number (40079845260).

Almost surely, 2^{2951949803040} is an apocalyptic number.

2951949803040 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 2951949803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771497717440).

2951949803040 is an abundant number, since it is smaller than the sum of its proper divisors (8591045631840).

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

2951949803040 is a wasteful number, since it uses less digits than its factorization.

2951949803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773104 (or 773093 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2951949803040 in words is "two trillion, nine hundred fifty-one billion, nine hundred forty-nine million, eight hundred three thousand, forty".