2545124416290 has 96 divisors (see below), whose sum is σ = 6864250236480. Its totient is φ = 678517798464.

The previous prime is 2545124416279. The next prime is 2545124416297. The reversal of 2545124416290 is 926144215452.

2545124416290 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 12 + 4 + 4 + 1 + 629 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2545124416297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9044392 + ... + 9321548.

It is an arithmetic number, because the mean of its divisors is an integer number (71502606630).

Almost surely, 2^{2545124416290} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545124416290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432125118240).

2545124416290 is an abundant number, since it is smaller than the sum of its proper divisors (4319125820190).

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

2545124416290 is a wasteful number, since it uses less digits than its factorization.

2545124416290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280958 (or 280946 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2545124416290 in words is "two trillion, five hundred forty-five billion, one hundred twenty-four million, four hundred sixteen thousand, two hundred ninety".