2097849600 has 972 divisors, whose sum is σ = 9640959328. Its totient is φ = 425779200.

The previous prime is 2097849587. The next prime is 2097849613. The reversal of 2097849600 is 69487902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2097849587) and next prime (2097849613).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48787179 + ... + 48787221.

Almost surely, 2^2097849600 is an apocalyptic number.

2097849600 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 2097849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820479664).

2097849600 is an abundant number, since it is smaller than the sum of its proper divisors (7543109728).

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

2097849600 is a wasteful number, since it uses less digits than its factorization.

2097849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2097849600 is about 45802.2881524493. The cubic root of 2097849600 is about 1280.1419113493.

The spelling of 2097849600 in words is "two billion, ninety-seven million, eight hundred forty-nine thousand, six hundred".