2564462340000 has 360 divisors, whose sum is σ = 9941402382912. Its totient is φ = 621687360000.

The previous prime is 2564462339939. The next prime is 2564462340031. The reversal of 2564462340000 is 432644652.

2564462340000 is a `hidden beast` number, since 2 + 5 + 644 + 6 + 2 + 3 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1332409 + ... + 2627591.

Almost surely, 2^{2564462340000} is an apocalyptic number.

2564462340000 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 2564462340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970701191456).

2564462340000 is an abundant number, since it is smaller than the sum of its proper divisors (7376940042912).

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

2564462340000 is a wasteful number, since it uses less digits than its factorization.

2564462340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295230 (or 1295204 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2564462340000 its reverse (432644652), we get a palindrome (2564894984652).

The spelling of 2564462340000 in words is "two trillion, five hundred sixty-four billion, four hundred sixty-two million, three hundred forty thousand".