2906080700880 has 320 divisors, whose sum is σ = 10397397523968. Its totient is φ = 657726013440.

The previous prime is 2906080700879. The next prime is 2906080700891. The reversal of 2906080700880 is 880070806092.

It is a happy number.

2906080700880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70830132 + ... + 70871148.

Almost surely, 2^{2906080700880} is an apocalyptic number.

2906080700880 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 2906080700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198698761984).

2906080700880 is an abundant number, since it is smaller than the sum of its proper divisors (7491316823088).

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

2906080700880 is a wasteful number, since it uses less digits than its factorization.

2906080700880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41454 (or 41448 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 2906080700880 in words is "two trillion, nine hundred six billion, eighty million, seven hundred thousand, eight hundred eighty".