2049074630400 has 648 divisors, whose sum is σ = 7884590353920. Its totient is φ = 467279339520.

The previous prime is 2049074630389. The next prime is 2049074630459. The reversal of 2049074630400 is 40364709402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 450640927 + ... + 450645473.

Almost surely, 2^{2049074630400} is an apocalyptic number.

2049074630400 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 2049074630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942295176960).

2049074630400 is an abundant number, since it is smaller than the sum of its proper divisors (5835515723520).

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

2049074630400 is a wasteful number, since it uses less digits than its factorization.

2049074630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 2049074630400 in words is "two trillion, forty-nine billion, seventy-four million, six hundred thirty thousand, four hundred".