2465728611840 has 2560 divisors, whose sum is σ = 10643798753280. Its totient is φ = 535088332800.

The previous prime is 2465728611803. The next prime is 2465728611869. The reversal of 2465728611840 is 481168275642.

2465728611840 is a `hidden beast` number, since 2 + 4 + 6 + 572 + 8 + 61 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19415185857 + ... + 19415185983.

It is an arithmetic number, because the mean of its divisors is an integer number (4157733888).

Almost surely, 2^{2465728611840} is an apocalyptic number.

2465728611840 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 2465728611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321899376640).

2465728611840 is an abundant number, since it is smaller than the sum of its proper divisors (8178070141440).

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

2465728611840 is a wasteful number, since it uses less digits than its factorization.

2465728611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2465728611840 in words is "two trillion, four hundred sixty-five billion, seven hundred twenty-eight million, six hundred eleven thousand, eight hundred forty".