2090499840 has 864 divisors, whose sum is σ = 8999617536. Its totient is φ = 457850880.

The previous prime is 2090499823. The next prime is 2090499869. The reversal of 2090499840 is 489940902.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 44478697 + ... + 44478743.

It is an arithmetic number, because the mean of its divisors is an integer number (10416224).

Almost surely, 2^2090499840 is an apocalyptic number.

2090499840 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 2090499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499808768).

2090499840 is an abundant number, since it is smaller than the sum of its proper divisors (6909117696).

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

2090499840 is a wasteful number, since it uses less digits than its factorization.

2090499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2090499840 is about 45721.9842089120. The cubic root of 2090499840 is about 1278.6451810781.

The spelling of 2090499840 in words is "two billion, ninety million, four hundred ninety-nine thousand, eight hundred forty".