2016740400 has 60 divisors (see below), whose sum is σ = 6460295592. Its totient is φ = 537797120.

The previous prime is 2016740399. The next prime is 2016740461. The reversal of 2016740400 is 40476102.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 839109 + ... + 841508.

Almost surely, 2^2016740400 is an apocalyptic number.

2016740400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016740400 is an abundant number, since it is smaller than the sum of its proper divisors (4443555192).

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

2016740400 is a wasteful number, since it uses less digits than its factorization.

2016740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680638 (or 1680627 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2016740400 is about 44908.1328937198. The cubic root of 2016740400 is about 1263.4265511532.

The spelling of 2016740400 in words is "two billion, sixteen million, seven hundred forty thousand, four hundred".