2545213440 has 448 divisors, whose sum is σ = 10191536640. Its totient is φ = 526909440.

The previous prime is 2545213439. The next prime is 2545213441. The reversal of 2545213440 is 443125452.

It is an interprime number because it is at equal distance from previous prime (2545213439) and next prime (2545213441).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2545213440² = 12956222910313267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2545213398 and 2545213407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545213441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461626 + ... + 9461894.

Almost surely, 2^2545213440 is an apocalyptic number.

2545213440 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 2545213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095768320).

2545213440 is an abundant number, since it is smaller than the sum of its proper divisors (7646323200).

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

2545213440 is a wasteful number, since it uses less digits than its factorization.

2545213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2545213440 is about 50450.1084240658. The cubic root of 2545213440 is about 1365.3418510753.

Adding to 2545213440 its reverse (443125452), we get a palindrome (2988338892).

The spelling of 2545213440 in words is "two billion, five hundred forty-five million, two hundred thirteen thousand, four hundred forty".