2906493004800 has 1584 divisors, whose sum is σ = 13063264111872. Its totient is φ = 599821516800.

The previous prime is 2906493004799. The next prime is 2906493004823. The reversal of 2906493004800 is 84003946092.

2906493004800 is a `hidden beast` number, since 29 + 0 + 64 + 93 + 0 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3069157927 + ... + 3069158873.

Almost surely, 2^{2906493004800} is an apocalyptic number.

2906493004800 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 2906493004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531632055936).

2906493004800 is an abundant number, since it is smaller than the sum of its proper divisors (10156771107072).

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

2906493004800 is a wasteful number, since it uses less digits than its factorization.

2906493004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1148 counting only the distinct ones).

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

The spelling of 2906493004800 in words is "two trillion, nine hundred six billion, four hundred ninety-three million, four thousand, eight hundred".