2145268400000 has 192 divisors, whose sum is σ = 5827516546320. Its totient is φ = 780096000000.

The previous prime is 2145268399997. The next prime is 2145268400003. The reversal of 2145268400000 is 48625412.

It is an interprime number because it is at equal distance from previous prime (2145268399997) and next prime (2145268400003).

It is a super-4 number, since 4×2145268400000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2145268400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145268400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4156220 + ... + 4643780.

Almost surely, 2^{2145268400000} is an apocalyptic number.

2145268400000 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 2145268400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913758273160).

2145268400000 is an abundant number, since it is smaller than the sum of its proper divisors (3682248146320).

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

2145268400000 is an frugal number, since it uses more digits than its factorization.

2145268400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487611 (or 487579 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 2145268400000 in words is "two trillion, one hundred forty-five billion, two hundred sixty-eight million, four hundred thousand".