2902142262096 has 1440 divisors, whose sum is σ = 11744098329600. Its totient is φ = 682864680960.

The previous prime is 2902142262031. The next prime is 2902142262157. The reversal of 2902142262096 is 6902622412092.

2902142262096 is a `hidden beast` number, since 2 + 9 + 0 + 2 + 14 + 2 + 2 + 620 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 915789600 + ... + 915792768.

It is an arithmetic number, because the mean of its divisors is an integer number (8155623840).

Almost surely, 2^{2902142262096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2902142262096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872049164800).

2902142262096 is an abundant number, since it is smaller than the sum of its proper divisors (8841956067504).

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

2902142262096 is a wasteful number, since it uses less digits than its factorization.

2902142262096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2902142262096 in words is "two trillion, nine hundred two billion, one hundred forty-two million, two hundred sixty-two thousand, ninety-six".