2081902694400 has 819 divisors, whose sum is σ = 7786817816221. Its totient is φ = 551849656320.

The previous prime is 2081902694363. The next prime is 2081902694413. The reversal of 2081902694400 is 44962091802.

The square root of 2081902694400 is 1442880.

It is a perfect power (a square), and thus also a powerful number.

2081902694400 is a `hidden beast` number, since 20 + 81 + 90 + 2 + 69 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 749484969984 + 1332417724416 = 865728^2 + 1154304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12466483117 + ... + 12466483283.

Almost surely, 2^{2081902694400} is an apocalyptic number.

2081902694400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2081902694400 is the 1442880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081902694400

2081902694400 is an abundant number, since it is smaller than the sum of its proper divisors (5704915121821).

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

2081902694400 is an frugal number, since it uses more digits than its factorization.

2081902694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2081902694400 in words is "two trillion, eighty-one billion, nine hundred two million, six hundred ninety-four thousand, four hundred".