2090462400 has 378 divisors, whose sum is σ = 8054865780. Its totient is φ = 513976320.

The previous prime is 2090462399. The next prime is 2090462447. The reversal of 2090462400 is 42640902.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2433171 + ... + 2434029.

Almost surely, 2^2090462400 is an apocalyptic number.

2090462400 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 2090462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027432890).

2090462400 is an abundant number, since it is smaller than the sum of its proper divisors (5964403380).

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

2090462400 is a wasteful number, since it uses less digits than its factorization.

2090462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 882 counting only the distinct ones).

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

The square root of 2090462400 is about 45721.5747760289. The cubic root of 2090462400 is about 1278.6375476945.

The spelling of 2090462400 in words is "two billion, ninety million, four hundred sixty-two thousand, four hundred".