2149378000 has 320 divisors, whose sum is σ = 6869131776. Its totient is φ = 629760000.

The previous prime is 2149377977. The next prime is 2149378001. The reversal of 2149378000 is 8739412.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149378001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617590 + ... + 2618410.

Almost surely, 2^2149378000 is an apocalyptic number.

2149378000 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 2149378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434565888).

2149378000 is an abundant number, since it is smaller than the sum of its proper divisors (4719753776).

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

2149378000 is a wasteful number, since it uses less digits than its factorization.

2149378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2149378000 is about 46361.3847938131. The cubic root of 2149378000 is about 1290.5384047452.

The spelling of 2149378000 in words is "two billion, one hundred forty-nine million, three hundred seventy-eight thousand".