2741654500464 has 160 divisors (see below), whose sum is σ = 7812257983488. Its totient is φ = 821600640000.

The previous prime is 2741654500457. The next prime is 2741654500489. The reversal of 2741654500464 is 4640054561472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45458649 + ... + 45518919.

Almost surely, 2^{2741654500464} is an apocalyptic number.

2741654500464 is a gapful number since it is divisible by the number (24) 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 2741654500464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906128991744).

2741654500464 is an abundant number, since it is smaller than the sum of its proper divisors (5070603483024).

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

2741654500464 is a wasteful number, since it uses less digits than its factorization.

2741654500464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61247 (or 61241 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 2741654500464 in words is "two trillion, seven hundred forty-one billion, six hundred fifty-four million, five hundred thousand, four hundred sixty-four".