2760451424640 has 1152 divisors, whose sum is σ = 12353666270400. Its totient is φ = 562319622144.

The previous prime is 2760451424587. The next prime is 2760451424641. The reversal of 2760451424640 is 464241540672.

It is a happy number.

2760451424640 is a `hidden beast` number, since 2 + 7 + 6 + 0 + 45 + 142 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760451424641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106391509 + ... + 106417451.

Almost surely, 2^{2760451424640} is an apocalyptic number.

2760451424640 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 2760451424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176833135200).

2760451424640 is an abundant number, since it is smaller than the sum of its proper divisors (9593214845760).

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

2760451424640 is a wasteful number, since it uses less digits than its factorization.

2760451424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26024 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2760451424640 in words is "two trillion, seven hundred sixty billion, four hundred fifty-one million, four hundred twenty-four thousand, six hundred forty".