2540770452 has 36 divisors (see below), whose sum is σ = 7006368096. Its totient is φ = 769930320.

The previous prime is 2540770423. The next prime is 2540770457.

It is a happy number.

2540770452 is a `hidden beast` number, since 2 + 540 + 7 + 70 + 45 + 2 = 666.

2540770452 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540770457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3207648 + ... + 3208439.

It is an arithmetic number, because the mean of its divisors is an integer number (194621336).

Almost surely, 2^2540770452 is an apocalyptic number.

2540770452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2540770452 is an abundant number, since it is smaller than the sum of its proper divisors (4465597644).

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

2540770452 is a wasteful number, since it uses less digits than its factorization.

2540770452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416108 (or 6416103 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2540770452 is about 50406.0557076231. The cubic root of 2540770452 is about 1364.5469300993.

It can be divided in two parts, 25407704 and 52, that added together give a triangular number (25407756 = T₇₁₂₈).

The spelling of 2540770452 in words is "two billion, five hundred forty million, seven hundred seventy thousand, four hundred fifty-two".