2942932287456 has 1440 divisors, whose sum is σ = 11203297459200. Its totient is φ = 740105994240.

The previous prime is 2942932287409. The next prime is 2942932287457. The reversal of 2942932287456 is 6547822392492.

2942932287456 is a `hidden beast` number, since 2 + 9 + 4 + 293 + 228 + 74 + 56 = 666.

It is a super-2 number, since 2×2942932287456² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2942932287393 and 2942932287402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942932287457) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10859528601 + ... + 10859528871.

It is an arithmetic number, because the mean of its divisors is an integer number (7780067680).

Almost surely, 2^{2942932287456} 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 2942932287456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601648729600).

2942932287456 is an abundant number, since it is smaller than the sum of its proper divisors (8260365171744).

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

2942932287456 is a wasteful number, since it uses less digits than its factorization.

2942932287456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 428 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 2942932287456 in words is "two trillion, nine hundred forty-two billion, nine hundred thirty-two million, two hundred eighty-seven thousand, four hundred fifty-six".