2049278400 has 672 divisors, whose sum is σ = 8333841600. Its totient is φ = 486604800.

The previous prime is 2049278389. The next prime is 2049278419. The reversal of 2049278400 is 48729402.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23025556 + ... + 23025644.

It is an arithmetic number, because the mean of its divisors is an integer number (12401550).

Almost surely, 2^2049278400 is an apocalyptic number.

2049278400 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 2049278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166920800).

2049278400 is an abundant number, since it is smaller than the sum of its proper divisors (6284563200).

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

2049278400 is a wasteful number, since it uses less digits than its factorization.

2049278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2049278400 is about 45268.9562503931. The cubic root of 2049278400 is about 1270.1850227467.

The spelling of 2049278400 in words is "two billion, forty-nine million, two hundred seventy-eight thousand, four hundred".