2934892860900 has 864 divisors, whose sum is σ = 11884230193920. Its totient is φ = 543507148800.

The previous prime is 2934892860883. The next prime is 2934892860937. The reversal of 2934892860900 is 90682984392.

It is a happy number.

It is a super-2 number, since 2×2934892860900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95780382 + ... + 95811018.

Almost surely, 2^{2934892860900} is an apocalyptic number.

2934892860900 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 2934892860900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942115096960).

2934892860900 is an abundant number, since it is smaller than the sum of its proper divisors (8949337333020).

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

2934892860900 is a wasteful number, since it uses less digits than its factorization.

2934892860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30725 (or 30707 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 2934892860900 in words is "two trillion, nine hundred thirty-four billion, eight hundred ninety-two million, eight hundred sixty thousand, nine hundred".