2097464000 has 112 divisors (see below), whose sum is σ = 5220858240. Its totient is φ = 834713600.

The previous prime is 2097463993. The next prime is 2097464003. The reversal of 2097464000 is 4647902.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2097464003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911452 + ... + 1912548.

Almost surely, 2^2097464000 is an apocalyptic number.

2097464000 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 2097464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610429120).

2097464000 is an abundant number, since it is smaller than the sum of its proper divisors (3123394240).

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

2097464000 is a wasteful number, since it uses less digits than its factorization.

2097464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2097464000 is about 45798.0785623153. The cubic root of 2097464000 is about 1280.0634734149.

The spelling of 2097464000 in words is "two billion, ninety-seven million, four hundred sixty-four thousand".