2051865974400 has 384 divisors, whose sum is σ = 7461587427840. Its totient is φ = 491426918400.

The previous prime is 2051865974383. The next prime is 2051865974441. The reversal of 2051865974400 is 44795681502.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2051865974400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8647749 + ... + 8881851.

It is an arithmetic number, because the mean of its divisors is an integer number (19431217260).

Almost surely, 2^{2051865974400} is an apocalyptic number.

2051865974400 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 2051865974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730793713920).

2051865974400 is an abundant number, since it is smaller than the sum of its proper divisors (5409721453440).

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

2051865974400 is a wasteful number, since it uses less digits than its factorization.

2051865974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234224 (or 234207 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 2051865974400 in words is "two trillion, fifty-one billion, eight hundred sixty-five million, nine hundred seventy-four thousand, four hundred".