2074688000 has 320 divisors, whose sum is σ = 6465229056. Its totient is φ = 645120000.

The previous prime is 2074687997. The next prime is 2074688009. The reversal of 2074688000 is 8864702.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (2074688009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4927790 + ... + 4928210.

Almost surely, 2^2074688000 is an apocalyptic number.

2074688000 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 2074688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232614528).

2074688000 is an abundant number, since it is smaller than the sum of its proper divisors (4390541056).

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

2074688000 is an equidigital number, since it uses as much as digits as its factorization.

2074688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2074688000 is about 45548.7431220665. The cubic root of 2074688000 is about 1275.4132711308.

The spelling of 2074688000 in words is "two billion, seventy-four million, six hundred eighty-eight thousand".