2670158400 has 336 divisors, whose sum is σ = 10783726464. Its totient is φ = 563281920.

The previous prime is 2670158327. The next prime is 2670158411. The reversal of 2670158400 is 48510762.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433744 + ... + 439856.

It is an arithmetic number, because the mean of its divisors is an integer number (32094424).

Almost surely, 2^2670158400 is an apocalyptic number.

2670158400 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 2670158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391863232).

2670158400 is an abundant number, since it is smaller than the sum of its proper divisors (8113568064).

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

2670158400 is a wasteful number, since it uses less digits than its factorization.

2670158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2670158400 is about 51673.5754520625. The cubic root of 2670158400 is about 1387.3275428867.

The spelling of 2670158400 in words is "two billion, six hundred seventy million, one hundred fifty-eight thousand, four hundred".