2946425879100 has 216 divisors, whose sum is σ = 9672722128384. Its totient is φ = 691243344000.

The previous prime is 2946425879041. The next prime is 2946425879101. The reversal of 2946425879100 is 19785246492.

2946425879100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2946425879100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946425879101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183874 + ... + 2434473.

Almost surely, 2^{2946425879100} is an apocalyptic number.

2946425879100 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 2946425879100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836361064192).

2946425879100 is an abundant number, since it is smaller than the sum of its proper divisors (6726296249284).

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

2946425879100 is a wasteful number, since it uses less digits than its factorization.

2946425879100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618417 (or 2618399 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 2946425879100 in words is "two trillion, nine hundred forty-six billion, four hundred twenty-five million, eight hundred seventy-nine thousand, one hundred".