2951084689920 has 960 divisors, whose sum is σ = 11030599996416. Its totient is φ = 755334512640.

The previous prime is 2951084689919. The next prime is 2951084689961. The reversal of 2951084689920 is 299864801592.

2951084689920 is a `hidden beast` number, since 2 + 9 + 510 + 8 + 4 + 6 + 8 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2641973202 + ... + 2641974318.

Almost surely, 2^{2951084689920} is an apocalyptic number.

2951084689920 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 2951084689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515299998208).

2951084689920 is an abundant number, since it is smaller than the sum of its proper divisors (8079515306496).

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

2951084689920 is a wasteful number, since it uses less digits than its factorization.

2951084689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 2951084689920 in words is "two trillion, nine hundred fifty-one billion, eighty-four million, six hundred eighty-nine thousand, nine hundred twenty".