2097014400 has 384 divisors, whose sum is σ = 8269262400. Its totient is φ = 515911680.

The previous prime is 2097014399. The next prime is 2097014429. The reversal of 2097014400 is 44107902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122267 + ... + 1124133.

Almost surely, 2^2097014400 is an apocalyptic number.

2097014400 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 2097014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134631200).

2097014400 is an abundant number, since it is smaller than the sum of its proper divisors (6172248000).

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

2097014400 is a wasteful number, since it uses less digits than its factorization.

2097014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2097014400 is about 45793.1697963790. The cubic root of 2097014400 is about 1279.9720045960.

The spelling of 2097014400 in words is "two billion, ninety-seven million, fourteen thousand, four hundred".