2049200640 has 320 divisors, whose sum is σ = 7601299200. Its totient is φ = 522289152.

The previous prime is 2049200603. The next prime is 2049200641. The reversal of 2049200640 is 460029402.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (2049200641) 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, 1589116 + ... + 1590404.

It is an arithmetic number, because the mean of its divisors is an integer number (23754060).

Almost surely, 2^2049200640 is an apocalyptic number.

2049200640 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 2049200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800649600).

2049200640 is an abundant number, since it is smaller than the sum of its proper divisors (5552098560).

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

2049200640 is a wasteful number, since it uses less digits than its factorization.

2049200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2049200640 is about 45268.0973755249. The cubic root of 2049200640 is about 1270.1689567928.

The spelling of 2049200640 in words is "two billion, forty-nine million, two hundred thousand, six hundred forty".