2039900450400 has 432 divisors, whose sum is σ = 7598688027840. Its totient is φ = 513512524800.

The previous prime is 2039900450383. The next prime is 2039900450429. The reversal of 2039900450400 is 40540099302.

2039900450400 is a `hidden beast` number, since 203 + 9 + 9 + 0 + 0 + 45 + 0 + 400 = 666.

It is a super-2 number, since 2×2039900450400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38688055 + ... + 38740745.

It is an arithmetic number, because the mean of its divisors is an integer number (17589555620).

Almost surely, 2^{2039900450400} is an apocalyptic number.

2039900450400 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 2039900450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799344013920).

2039900450400 is an abundant number, since it is smaller than the sum of its proper divisors (5558787577440).

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

2039900450400 is a wasteful number, since it uses less digits than its factorization.

2039900450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53019 (or 53003 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2039900450400 in words is "two trillion, thirty-nine billion, nine hundred million, four hundred fifty thousand, four hundred".