2540252309760 has 576 divisors, whose sum is σ = 9841600984320. Its totient is φ = 615333888000.

The previous prime is 2540252309759. The next prime is 2540252309761. The reversal of 2540252309760 is 679032520452.

2540252309760 is a `hidden beast` number, since 2 + 5 + 402 + 5 + 230 + 9 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2540252309759) and next prime (2540252309761).

It is a tau number, because it is divible by the number of its divisors (576).

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 (2540252309761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813921000 + ... + 813924120.

It is an arithmetic number, because the mean of its divisors is an integer number (17086112820).

Almost surely, 2^{2540252309760} is an apocalyptic number.

2540252309760 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 2540252309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920800492160).

2540252309760 is an abundant number, since it is smaller than the sum of its proper divisors (7301348674560).

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

2540252309760 is a wasteful number, since it uses less digits than its factorization.

2540252309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2540252309760 in words is "two trillion, five hundred forty billion, two hundred fifty-two million, three hundred nine thousand, seven hundred sixty".