2670278400 has 648 divisors, whose sum is σ = 10586603664. Its totient is φ = 663552000.

The previous prime is 2670278393. The next prime is 2670278423. The reversal of 2670278400 is 48720762.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26438350 + ... + 26438450.

Almost surely, 2^2670278400 is an apocalyptic number.

2670278400 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 2670278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293301832).

2670278400 is an abundant number, since it is smaller than the sum of its proper divisors (7916325264).

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

2670278400 is a wasteful number, since it uses less digits than its factorization.

2670278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2670278400 is about 51674.7365740746. The cubic root of 2670278400 is about 1387.3483252756.

The spelling of 2670278400 in words is "two billion, six hundred seventy million, two hundred seventy-eight thousand, four hundred".