2954115296640 has 384 divisors, whose sum is σ = 10269680541120. Its totient is φ = 782468628480.

The previous prime is 2954115296623. The next prime is 2954115296651. The reversal of 2954115296640 is 466925114592.

It is a happy number.

2954115296640 is a `hidden beast` number, since 2 + 9 + 5 + 4 + 11 + 529 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824939650 + ... + 824943230.

Almost surely, 2^{2954115296640} is an apocalyptic number.

2954115296640 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 2954115296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134840270560).

2954115296640 is an abundant number, since it is smaller than the sum of its proper divisors (7315565244480).

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

2954115296640 is a wasteful number, since it uses less digits than its factorization.

2954115296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2954115296640 in words is "two trillion, nine hundred fifty-four billion, one hundred fifteen million, two hundred ninety-six thousand, six hundred forty".