2466948994560 has 960 divisors, whose sum is σ = 9096739914240. Its totient is φ = 633614745600.

The previous prime is 2466948994541. The next prime is 2466948994571. The reversal of 2466948994560 is 654998496642.

2466948994560 is a `hidden beast` number, since 2 + 4 + 6 + 6 + 9 + 489 + 94 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16337410485 + ... + 16337410635.

It is an arithmetic number, because the mean of its divisors is an integer number (9475770744).

Almost surely, 2^{2466948994560} is an apocalyptic number.

2466948994560 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 2466948994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548369957120).

2466948994560 is an abundant number, since it is smaller than the sum of its proper divisors (6629790919680).

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

2466948994560 is a wasteful number, since it uses less digits than its factorization.

2466948994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 2466948994560 in words is "two trillion, four hundred sixty-six billion, nine hundred forty-eight million, nine hundred ninety-four thousand, five hundred sixty".