2451445000000 has 224 divisors, whose sum is σ = 6110123029920. Its totient is φ = 975840000000.

The previous prime is 2451444999923. The next prime is 2451445000021. The reversal of 2451445000000 is 5441542.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2171426227776 + 280018772224 = 1473576^2 + 529168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144998930 + ... + 1145001070.

It is an arithmetic number, because the mean of its divisors is an integer number (27277334955).

Almost surely, 2^{2451445000000} is an apocalyptic number.

2451445000000 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 2451445000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055061514960).

2451445000000 is an abundant number, since it is smaller than the sum of its proper divisors (3658678029920).

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

2451445000000 is an frugal number, since it uses more digits than its factorization.

2451445000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

It can be divided in two parts, 245 and 1445000000, that multiplied together give a square (354025000000 = 595000²).

The spelling of 2451445000000 in words is "two trillion, four hundred fifty-one billion, four hundred forty-five million", and thus it is an aban number.