2126767104 has 616 divisors, whose sum is σ = 8161929408. Its totient is φ = 537477120.

The previous prime is 2126767103. The next prime is 2126767117. The reversal of 2126767104 is 4017676212.

It is a tau number, because it is divible by the number of its divisors (616).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126767103) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57480174 + ... + 57480210.

Almost surely, 2^2126767104 is an apocalyptic number.

2126767104 is a gapful number since it is divisible by the number (24) 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 2126767104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080964704).

2126767104 is an abundant number, since it is smaller than the sum of its proper divisors (6035162304).

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

2126767104 is an equidigital number, since it uses as much as digits as its factorization.

2126767104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2126767104 is about 46116.8852374052. The cubic root of 2126767104 is about 1285.9970669431.

The spelling of 2126767104 in words is "two billion, one hundred twenty-six million, seven hundred sixty-seven thousand, one hundred four".