2145612474400 has 36 divisors (see below), whose sum is σ = 5237976455082. Its totient is φ = 858244989440.

The previous prime is 2145612474391. The next prime is 2145612474409. The reversal of 2145612474400 is 44742165412.

It is an interprime number because it is at equal distance from previous prime (2145612474391) and next prime (2145612474409).

It can be written as a sum of positive squares in 3 ways, for example, as 1154687790096 + 990924684304 = 1074564^2 + 995452^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2145612474409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1341006997 + ... + 1341008596.

Almost surely, 2^{2145612474400} is an apocalyptic number.

2145612474400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145612474400 is an abundant number, since it is smaller than the sum of its proper divisors (3092363980682).

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

2145612474400 is a wasteful number, since it uses less digits than its factorization.

2145612474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682015613 (or 2682015600 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 2145612474400 in words is "two trillion, one hundred forty-five billion, six hundred twelve million, four hundred seventy-four thousand, four hundred".