2061514022400 has 1680 divisors, whose sum is σ = 8998890013344. Its totient is φ = 457930506240.

The previous prime is 2061514022377. The next prime is 2061514022401. The reversal of 2061514022400 is 42204151602.

2061514022400 is a `hidden beast` number, since 2 + 0 + 6 + 15 + 1 + 402 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2061514022401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2416780374 + ... + 2416781226.

Almost surely, 2^{2061514022400} is an apocalyptic number.

2061514022400 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 2061514022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499445006672).

2061514022400 is an abundant number, since it is smaller than the sum of its proper divisors (6937375990944).

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

2061514022400 is an frugal number, since it uses more digits than its factorization.

2061514022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2061514022400 in words is "two trillion, sixty-one billion, five hundred fourteen million, twenty-two thousand, four hundred".