2545468275840 has 768 divisors, whose sum is σ = 9610184787840. Its totient is φ = 571318272000.

The previous prime is 2545468275827. The next prime is 2545468275853. The reversal of 2545468275840 is 485728645452.

It is an interprime number because it is at equal distance from previous prime (2545468275827) and next prime (2545468275853).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1413362940 + ... + 1413364740.

Almost surely, 2^{2545468275840} is an apocalyptic number.

2545468275840 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 2545468275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805092393920).

2545468275840 is an abundant number, since it is smaller than the sum of its proper divisors (7064716512000).

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

2545468275840 is a wasteful number, since it uses less digits than its factorization.

2545468275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 60.

The spelling of 2545468275840 in words is "two trillion, five hundred forty-five billion, four hundred sixty-eight million, two hundred seventy-five thousand, eight hundred forty".