2951041842144 has 144 divisors (see below), whose sum is σ = 9155597920560. Its totient is φ = 894190510080.

The previous prime is 2951041842131. The next prime is 2951041842187. The reversal of 2951041842144 is 4412481401592.

2951041842144 is a `hidden beast` number, since 2 + 9 + 5 + 10 + 418 + 4 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2951041842144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61717254 + ... + 61765050.

It is an arithmetic number, because the mean of its divisors is an integer number (63580541115).

Almost surely, 2^{2951041842144} is an apocalyptic number.

2951041842144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2951041842144 is an abundant number, since it is smaller than the sum of its proper divisors (6204556078416).

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

2951041842144 is a wasteful number, since it uses less digits than its factorization.

2951041842144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67313 (or 67302 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2951041842144 in words is "two trillion, nine hundred fifty-one billion, forty-one million, eight hundred forty-two thousand, one hundred forty-four".