2049678000 has 160 divisors (see below), whose sum is σ = 7342595520. Its totient is φ = 546566400.

The previous prime is 2049677977. The next prime is 2049678023. The reversal of 2049678000 is 8769402.

It is an interprime number because it is at equal distance from previous prime (2049677977) and next prime (2049678023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35022 + ... + 72978.

It is an arithmetic number, because the mean of its divisors is an integer number (45891222).

Almost surely, 2^2049678000 is an apocalyptic number.

2049678000 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 2049678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671297760).

2049678000 is an abundant number, since it is smaller than the sum of its proper divisors (5292917520).

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

2049678000 is a wasteful number, since it uses less digits than its factorization.

2049678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37989 (or 37967 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2049678000 is about 45273.3696559026. The cubic root of 2049678000 is about 1270.2675774885.

The spelling of 2049678000 in words is "two billion, forty-nine million, six hundred seventy-eight thousand".